1/2(2x+8)=-1/3(9x-6)

Solution for 1/2(2x+8)=-1/3(9x-6) equation:

1/2(2x+8)=-1/3(9x-6)

We simplify the equation to the form, which is simple to understand 
1/2(2x+8)=-1/3(9x-6)

Simplifying:
 + 0.5*(2x+8)=-1/3*(9x-6)

Simplifying:
 + 0.5*(2x+8)=-0.333333333333*(9x-6)

Reorder the terms in parentheses
+(+1x+4)=-0.333333333333*(9x-6)

Remove unnecessary parentheses
+1x+4=-0.333333333333+*(+9x-6+)

Reorder the terms in parentheses
+1x+4=+(-3x+2)

Remove unnecessary parentheses
+1x+4=-3x+2

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

We simplify left and right side of the equation. 
+4x=-2

We divide both sides of the equation by 4 to get x. 
x=-0.5