6+4(x+3)-3(x-2)-8=2(3x-6)-4(x-3)

Solution for 6+4(x+3)-3(x-2)-8=2(3x-6)-4(x-3) equation:

6+4(x+3)-3(x-2)-8=2(3x-6)-4(x-3)

We simplify the equation to the form, which is simple to understand 
6+4(x+3)-3(x-2)-8=2(3x-6)-4(x-3)

Reorder the terms in parentheses
6+(+4x+12)-3*(x-2)-8=2*(3x-6)-4*(x-3)

Remove unnecessary parentheses
+6+4x+12-3+*(+x-2+)-8=+2+*(+3x-6+)-4+*(+x-3+)

Reorder the terms in parentheses
6+4x+12+(-3x+6)-8=2*(3x-6)-4*(x-3)

Remove unnecessary parentheses
+6+4x+12-3x+6-8=+2+*(+3x-6+)-4+*(+x-3+)

Reorder the terms in parentheses
6+4x+12-3x+6-8=+(+6x-12)-4*(x-3)

Remove unnecessary parentheses
+6+4x+12-3x+6-8=+6x-12-4+*(+x-3+)

Reorder the terms in parentheses
6+4x+12-3x+6-8=+6x-12+(-4x+12)

Remove unnecessary parentheses
+6+4x+12-3x+6-8=+6x-12-4x+12

We move all terms containing x to the left and all other terms to the right. 
+4x-3x-6x+4x=-12+12-6-12-6+8

We simplify left and right side of the equation. 
-1x=-16

We divide both sides of the equation by -1 to get x. 
x=16