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 :)
