2 (x + 4) = 2 (-8 - x) - 2x

Answers

Answer 1

Answer:

x = -4

Step-by-step explanation:

Simplifying

2[x + 4] = 2[-8 + -1x] + -2x

Reorder the terms:

2[4 + x] = 2[-8 + -1x] + -2x

[4 * 2 + x * 2] = 2[-8 + -1x] + -2x

[8 + 2x] = 2[-8 + -1x] + -2x

8 + 2x = [-8 * 2 + -1x * 2] + -2x

8 + 2x = [-16 + -2x] + -2x

Combine like terms: -2x + -2x = -4x

8 + 2x = -16 + -4x

Solving

8 + 2x = -16 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

8 + 2x + 4x = -16 + -4x + 4x

Combine like terms: 2x + 4x = 6x

8 + 6x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0

8 + 6x = -16 + 0

8 + 6x = -16

Add '-8' to each side of the equation.

8 + -8 + 6x = -16 + -8

Combine like terms: 8 + -8 = 0

0 + 6x = -16 + -8

6x = -16 + -8

Combine like terms: -16 + -8 = -24

6x = -24

Divide each side by '6'.

x = -4

Simplifying

x = -4

Answer 2

2( x + 4) = 2 (-8 -x) -2x

Use the distributive property to multiply 2 by x + 4.

2x + 8 = 2 (-8 -x) - 2x

Use the distributive property to multiply 2 by -8 -x.

2x + 8 = -16 -2x - 2x

Combine -2x and 2x to get -4x.

2x + 8 = -16 - 4x

Add 4x to both sides.

2x + 8 + 4x = -16

Combine 2x and 4x to get 6x.

6x + 8 = -16

Subtract 8 from both sides.

6x = -16 - 8

Subtract 8 from -16 to get -24.

6x = -24

Divide both sides from 6.

x = [tex]\frac{-24}{6}[/tex]

Divide by -24 by 6 to get -4.

x = -4.


Related Questions

The perimeter of the figure below is:
10
7
A. 35
B. 53
C. 56
D. 48
E. 36

Answers

The answer would probably be 36

ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.

Answers

Step-by-step explanation:

let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.

the slope BA = -1

as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).

the slope of CD = -1

as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).

so, both lines are indeed parallel.

the slope CB = +1

as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)

the slope of DA = +1

as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)

so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).

therefore, we have only 90° angles here.

and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.

therefore, this is a square.

and with that it is automatically also a rectangle and a rhombus.

what is the slope of the line that goes through 11,2 and 14,16

Answers

Step-by-step explanation:

m = y2-y1/x2-x1

m = 16 - 2/ 14 - 11

m = 14/3

m = 14 / 3

Hope it helps.

No links or files. I will have to report answers that contain files. Please provide a short explanation if you can.

Answers

Answer:

BCA is half of that of BCD. BCD is ~90 degrees, and BCA is ~45 degrees.

(~ meaning about)

Hope that helps

0.69 is an integer true or false

Help I have no idea what to do

Answers

Answer:

false

Step-by-step explanation:

An integer is a whole number and 0.69 is not a whole number.

which term of the a.p 24, 21,, 18, ................. is the second negative term ?

Answers

Answer: -6

Step-by-step explanation:

It's going by 3s so the second negative number would follow as this:

24, 21, 18, 15, 12, 9, 6, 3, 0, -3, -6

If today is Saturday, what day will it be 70 days from now?

Answers

Answer:

If today is Saturday, then after 70 days, we will be on a Saturday again.

Step-by-step explanation:

Basically, 70 days = 10 weeks

Which means: 1 week = 7 days

We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.

Hoped this helped.

I need help showing work

Answers

Answer:

yawa ka ah diyan module tae yan hahaha

don't know sorry mate

Calculate the measure of the major arc MPN.

Answers

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

  MPN = 360° -MN . . . . . . . . subtract MN

  MPN = 360° -50° = 310° . . . fill in the given value

The measure of major arc MPN is 310°.

Which of the following does an appropriately cautious reading of a receipt entail? I. Making sure that the items charged are the same as the items received. II. Asking for a second copy for your records. III. Checking to see if all of the discounts were applied properly. A. I only b. II and III c. I and III d. I, II, and III.

Answers

An appropriate cautious reading of a receipt entail making sure that the

items charged are the same as the items received and checking to see if all

of the discounts were applied properly,

When an item is bought, a receipt is usually issued which confirms that

payment has been made for the goods or services. Receipt however should

be properly checked to detect any error in the course of the transaction.

Making sure that the items charged are the same as the items received and

checking to see if all of the discounts were applied properly should be done

to avoid shortages of the resources of the parties involved.

Read more on https://brainly.com/question/25539176

Answer:

c

Step-by-step explanation:

Find the equation of the line that passes through (1,-1) and is parallel to 2x+y−3=0

Leave your answer in the form y=mx+c

Answers

Answer:

y = - 2x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y - 3 = 0 ( subtract 2x - 3 from both sides )

y = - 2x + 3 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, then

y = - 2x + c ← is the partial equation

To find c substitute (1, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - 2x + 1 ← equation of parallel line

solve pls brainliest



Marcus has picture with the dimensions of 3 ft wide and 5 ft long. He would like to change the picture using a scale factor of 1/2. What are the new dimensions for the picture and is the new picture a reduction or enlargement. Explain how you know. *

Answers

Answer:

Reduction: new dimensios are 1.5ft x 2.5ft

Step-by-step explanation:

Since he is using a scale factor of 1/2, we merely multiply everything by 1/2

3 ft * 1/2 = 1.5 ft

5 ft * 1/2 = 2.5 ft

It is obviously a reduction first since the scale factor is less than one, but you can also see that the dimensions decreased.

Answer:

The new dimensions are 1.5 ft wide and 2.5 ft long. The picture would be a reduction.

Step-by-step explanation:

Since the scale factor is less than 1 we know that the dimensions are smaller than the original. So we multiply 3 and 5 by 0.5. We get the new dimensions of 1.5ft wide by 2.5 ft long. Knowing this information we can conclude that the new picture is a reduction.

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:dunno

Step-by-step explanation:

It’s c I think…………….. had to make this 20 characters

Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.

Select the true statement about the proportions of the sides.

Answers

Answer:

Screenshot

Step-by-step explanation:

Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:

B. AC/DF = 5/2

What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.

Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:

B. AC/DF = 5/2

Learn more about similar triangles on:

https://brainly.com/question/2644832

Can i have help with these two problems.

Answers

Answer:

(11/7)x + (3/7)y

Step-by-step explanation:

Perform the indicated multiiplication.  We get:

(6/7)x - (2/5)y + (5/7)y + (5/7)x

Now combine like terms, obtaining:      (11/7)x + (3/7)y

An alternative expression would be (1/7)(11x + 3y)

If (x +4) + (y - 3) = -1 -i, what are the values of x and y?

Answers

Answer:

x=y-2

y=x-2

Step-by-step explanation:

Madelynn makes the following statement: "Since I have 28 people that I defi-
nitely want to invite to my party, I might as well choose Party B and invite even
more people."
Was Madelynn correct to go with Party B and invite more people? Explain why or
why not.

Answers

Answer:

The only problem was that now it costs more so not really

Step-by-step explanation:

I think its an opinion question

Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes

Answers

Answer:

69

Step-by-step explanation:

it is 69 becuase 4x-7+11x-8 equals 69

We have: 2.(4x - 7)° + 2(11x - 8)° = 360°

So: 8x - 14 + 22x - 16 = 360°

<=> 30x - 30 = 360°

<=> 30(x - 1) = 360°

<=> x - 1 = 12

<=> x = 13°

We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°

The answer: ∠G = 135°

Ok done. Thank to me :>

Your family took a road trip to Disneyland. For a part of the drive, your family drove 70 miles per hour for 4 hours. How far did your family drive for that portion of the trip?

Answers

Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.

70 x 4 = 280

For four hours of driving, the family drove 280 miles.

Answer: 280 miles

Explanation:
If they’re going 70 miles every 1 hour, then just multiply that by the number of hours they travel.
70 * 4 = 280 miles in 4 hours

Maurice spent $12.00 of the $25.00 on a gift card. Which decimal represents the fraction the $25.00 Maurice spent?

Answers

Answer:

0.60

Step-by-step explanation:

25/2 = 12.5 wich means that it can't be 0.50 or lower so it has to be 0.60

d/−7 ≤ −6 pls help :)

Answers

Answer:

D > -42

Step-by-step explanation:

a) work out the size of angle x.

b) give reasons for your answer.

Answers

Answer:

x=30

Step-by-step explanation:

105 is also the same as angle b which is also the same as the angle opposite.

so

150+150=300

360-300=60

60/2=30

hope that helps.

plz mark as brainliest if correct

thank you

Answer:

x=75°

Step-by-step explanation:

the angle that is 105° and the angle that is x makes a co interior angle.

the two angles belonging to that co interior angle will always add up to 180°.

so in this case, 180° - 105° = x

answer = x=75°

Use your scientific calculator to calculate the value of the following:3.5934×4.294Give your answer in decimal form and write all the digits on your calculator display.

Answers

Answer:

15.4300596

Step-by-step explanation:

Sixty-seven percent of 237 people own
their homes. About how many people
own their homes?

Answers

Answer:

about 159 people own their homes

(158.79)

Step-by-step explanation:

When you want to find the percentage of a number, multiply that number by the percentage's decimal

example: 20% of 300

20%=20/100=0.20

300×0.20=60

Your welcome!

if you can, please mark brainliest :)

Solve for a, round your answer to the nearest hundredth:-3(a + 9) - 5(a - 5) = 8

Answers

Answer:

22

Step-by-step explanation:

3(a+9)-5(a-5)=8

3a+27-5a+25=8

3a-5a+27+25=8

-2a+52=8

-2a=8-52

-2a=-44

a=-44/-2

a=+22

i need HELLPPPPPPP PLEASEEE

Answers

Answer:

B

Step-by-step explanation:

thats the only one that can go on a number  line correctly, plz mark me brainiest

Help me:) please and thanks

Answers

Answer:

The number is A 0.43

hoped that helped

The equation of a line is y = 12x - 3. Write the equation of a line parallel to this line.

Answers

Answer:

y=12x+3

Step-by-step explanation:

when parallel the slopes need to be the same but the y-intercept has to change

Jack deposited a check into his account for $227.11. Then, he withdrew $227.11 in cash in the same transaction. What is the net amount of Jack's transaction? A. $454.22 B. $227.11 C. $0 D. -$227.11

Answers

Answer:

None because he took out all of the money he had

Step-by-step explanation:

(I made the same mistake once......)

The net amount of Jack's transaction is: $0.

So, the correct answer is C. $0.

The net amount of Jack's transaction can be calculated by subtracting the amount he withdrew from the amount he deposited.

Given:

Deposit amount = $227.11

Withdrawal amount = $227.11

Net amount = Deposit amount - Withdrawal amount

Net amount = $227.11 - $227.11

Net amount = $0

Hence, the net amount of Jack's transaction is: $0.

So, the correct answer is C. $0.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ3

What is the slope of the line2y+x=-3. Write your answer in simplest form.

Answers

Answer:

x+2y=-3

Step-by-step explanation:

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