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

0 = 4x
8 = 4x
4 = -4x
16 = -4x

User Roconmachine
by
2.0k points

2 Answers

15 votes
15 votes

Answer:

0 = 4x

Explanation:

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

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

-4 + 4x = -4 + 8x

-4 + 4 = 8x - 4x

0 = 4x

User Dylan Corriveau
by
2.9k points
26 votes
26 votes

Answer:

0=4x

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.

User Brntsllvn
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3.3k points