1/2(6+4x)=x+2(x+4)

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

1/2(6+4x)=x+2(x+4)

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

Simplifying:
 + 0.5*(6+4x)=x+2*(x+4)

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

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

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

Remove unnecessary parentheses
+3+2x=+x+2x+8

We move all terms containing x to the left and all other terms to the right. 
+2x-1x-2x=+8-3

We simplify left and right side of the equation. 
-1x=+5

We divide both sides of the equation by -1 to get x. 
x=-5