Question

Which of the following equations is equivalent to -2(2 − 2x) = 4 − 8(1 − x) ?

Answer 1

Answer:

0 = 4x

Step-by-step explanation:

-2(2 - 2x) = 4 - 8(1 - x)

-4 + 4x = 4 - 8 + 8x

-4 + 4x = -4 + 8x

-4 + 4 = 8x - 4x

0 = 4x

Answer 2

Answer:

0=4x

Step-by-step explanation:

You can read this problem as simplify -2(2-2x)=4-8(1-x), because being equivalent to something can be started with simplification.

So now, on to the simplification now:

-2(2-2x)=4-8(1-x)

Step 1: Open Parantheses -4+4x=4-8+8x

(Remember, two negatives equal a postitive. That's why you get 4x and 8x, not -4x nor -8x.)

Step two: Tidy (Put x's on one side, others on the other.) 4x-8x=4-8+4

(Remember, when you move a number/variable to one side, the negative/positive sign becomes the opposite.)

Step three: Solve -4x=0

Now, be get -4x=0. But then again, if -4x=0, then 4x=0, considering x will be zero.

I hope you liked this explanation! If you have more problems, I'm always free to help.