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

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

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

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

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

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

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

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

Reorder the terms in parentheses
+2x+6-3x+6+6=+(+4x+32)

Remove unnecessary parentheses
+2x+6-3x+6+6=+4x+32

We move all terms containing x to the left and all other terms to the right. 
+2x-3x-4x=+32-6-6-6

We simplify left and right side of the equation. 
-5x=+14

We divide both sides of the equation by -5 to get x. 
x=-2.8