Question

What the answer to 3(x – 1) < -3(2 – 2x)

Answer 1

3(x - 1) < -3(2 - 2x)

Our goal here is to isolate x in one side of the inequality and the value on the other:

First thing you can do is divide both sides by 3 to completely eliminate the 3 on the outside of both sides

3/3(x - 1) < -3/3(2 - 2x)

x - 1 < -(2 - 2x)

Distribute the negative sign on the right side of the inequality

x - 1 < -2 - (-2x)

x - 1 < -2 + 2x

Now you can subtract x from both sides to move the x to the right side

x - x - 1 < -2 + 2x - x

- 1 < - 2 + x

Then add 2 to both sides to move the -2 to the left side

-1 + 2 < -2 + 2 + x

1 < x

x > 1

Answer: x > 1

Hope it helps :)