6+3(4x-4)=6-4(2x+1)

Solution for 6+3(4x-4)=6-4(2x+1) equation:

6+3(4x-4)=6-4(2x+1)

We simplify the equation to the form, which is simple to understand 
6+3(4x-4)=6-4(2x+1)

Reorder the terms in parentheses
6+(+12x-12)=6-4*(2x+1)

Remove unnecessary parentheses
+6+12x-12=+6-4+*(+2x+1+)

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

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

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

We simplify left and right side of the equation. 
+20x=+8

We divide both sides of the equation by 20 to get x. 
x=0.4