Question

solve for x. express your answer as an integer or a simplified fraction.
-2(4x+4)-5=-2(x+2)+4x

Answer 1

Do the distributive property.
Do you know what -2(4x+4) would look like after distributing?

Answer 2

-8x-8

Answer 3

Good. What about -2(x+2)?

Answer 4

-2x-4

Answer 5

Good. Now your equation reads:

-8x-8-5 = -2x-4+4x

Now combine like term. Which terms can we combine?

Answer 6

-10x-17+4x

Answer 7

Hmm. Lets do it step-by-step.
On the left side of the equation: -8x-8-5.
Do you know which terms we can combine using only those three terms?

Answer 8

-13

Answer 9

Great! So yo know that -8 + -5 = -13.
So now we have -8x - 13.
Do you think we can combine those two terms?

Answer 10

no

Answer 11

Good! So now our equation reads:
-8x - 13 = -2x-4+4x

Which terms can we combine for 2x-4+4x ?

Answer 12

6x-4

Answer 13

Good, so now our equation looks like:
-8x - 13 = 6x -4

Do you know what to do next?

Answer 14

would it be -2x -13=-4

Answer 15

Not quite. What did you do first?

Answer 16

-14x-13=-4

Answer 17

Alright, that can work.
What's the next step?

Answer 18

add 13 to both sides

Answer 19

-14x=9

Answer 20

-9/14

Answer 21

thats notone of my answers its either -3/10 -3/2 -9/10 or 3/10

Answer 22

wait i think i did it wrong i just redid it and got -3/10 is that what you got

Answer 23

Hmm. Divide -14 to both side. What do you get?

Answer 24

.64

Answer 25

-0.64.

Answer 26

So what do you think the answer is?

Answer 27

I have to go.

Answer 28

the correct answer is -9/10.-5-2 (4+4 x) = 4 x-2 (2+x)
-2 4 x-2 4-5 = -2 x-2 2+4 x
-8 x-8-5 = -2 x-4+4 x
-8x-13=2x-4
-8x-2x=13-4
-10x=9
x=-9/10