2*(x-4)-3*(x-3)=4

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

2*(x-4)-3*(x-3)=4

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

Reorder the terms in parentheses
+(+2x-8)-3*(x-3)=4

Remove unnecessary parentheses
+2x-8-3+*(+x-3+)=+4

Reorder the terms in parentheses
+2x-8+(-3x+9)=4

Remove unnecessary parentheses
+2x-8-3x+9=+4

We move all terms containing x to the left and all other terms to the right. 
+2x-3x=+4+8-9

We simplify left and right side of the equation. 
-1x=+3

We divide both sides of the equation by -1 to get x. 
x=-3