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

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

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

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

Reorder the terms in parentheses
2x+6+(+3x-24)=3*(-8+x)

Remove unnecessary parentheses
+2x+6+3x-24=+3+*(-8+x+)

Reorder the terms in parentheses
2x+6+3x-24=+(-24+3x)

Remove unnecessary parentheses
+2x+6+3x-24=-24+3x

We move all terms containing x to the left and all other terms to the right. 
+2x+3x-3x=-24-6+24

We simplify left and right side of the equation. 
+2x=-6

We divide both sides of the equation by 2 to get x. 
x=-3