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

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

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

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

Reorder the terms in parentheses
+(+3x+3)/2-3=2*(x-1)-x

Reorder the terms in parentheses
+(+1.5x+1.5)-3=2*(x-1)-x

Remove unnecessary parentheses
+1.5x+1.5-3=+2+*(+x-1+)-x

Reorder the terms in parentheses
+1.5x+1.5-3=+(+2x-2)-x

Remove unnecessary parentheses
+1.5x+1.5-3=+2x-2-x

We move all terms containing x to the left and all other terms to the right. 
+1.5x-2x+1x=-2-1.5+3

We simplify left and right side of the equation. 
 + 0.5x=-0.5

We divide both sides of the equation by 0.5 to get x. 
x=-1