2(x-1)=-3(2-2x)

Solution for 2(x-1)=-3(2-2x) equation:

2(x-1)=-3(2-2x)

We simplify the equation to the form, which is simple to understand 
2(x-1)=-3(2-2x)

Reorder the terms in parentheses
+(+2x-2)=-3*(2-2x)

Remove unnecessary parentheses
+2x-2=-3+*(+2-2x+)

Reorder the terms in parentheses
+2x-2=+(-6+6x)

Remove unnecessary parentheses
+2x-2=-6+6x

We move all terms containing x to the left and all other terms to the right. 
+2x-6x=-6+2

We simplify left and right side of the equation. 
-4x=-4

We divide both sides of the equation by -4 to get x. 
x=1