3(x-1)+5(x-2)=2-(x-2)

Solution for 3(x-1)+5(x-2)=2-(x-2) equation:

3(x-1)+5(x-2)=2-(x-2)

We simplify the equation to the form, which is simple to understand 
3(x-1)+5(x-2)=2-(x-2)

Reorder the terms in parentheses
+(+3x-3)+5*(x-2)=2-(x-2)

Remove unnecessary parentheses
+3x-3+5+*(+x-2+)=+2-(+x-2+)

Reorder the terms in parentheses
+3x-3+(+5x-10)=2-(x-2)

Remove unnecessary parentheses
+3x-3+5x-10=+2-(+x-2+)

Remove unnecessary parentheses
+3x-3+5x-10=2-1x+2

We move all terms containing x to the left and all other terms to the right. 
+3x+5x+1x=+2+2+3+10

We simplify left and right side of the equation. 
+9x=+17

We divide both sides of the equation by 9 to get x. 
x=1.88888888889