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

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

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

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

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

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

Reorder the terms in parentheses
+2x-2=+(+6+3x)

Remove unnecessary parentheses
+2x-2=+6+3x

We move all terms containing x to the left and all other terms to the right. 
+2x-3x=+6+2

We simplify left and right side of the equation. 
-1x=+8

We divide both sides of the equation by -1 to get x. 
x=-8