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

Solution for 4(x-1)-x=3+2(x-3) equation:

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

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

Reorder the terms in parentheses
+(+4x-4)-x=3+2*(x-3)

Remove unnecessary parentheses
+4x-4-x=+3+2+*(+x-3+)

Reorder the terms in parentheses
+4x-4-x=3+(+2x-6)

Remove unnecessary parentheses
+4x-4-x=+3+2x-6

We move all terms containing x to the left and all other terms to the right. 
+4x-1x-2x=+3-6+4

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

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