Verified Answer :

simplify the equation to the form, which is simple to understand
4(x+1)-3(2x+6)=-11

Reorder the terms in parentheses
+(+4x+4)-3(2x+6)=-11

Remove unnecessary parentheses
+4x+4-3+
(+2x+6+)=-11

Reorder the terms in parentheses
+4x+4+(-6x-18)=-11

Remove unnecessary parentheses
+4x+4-6x-18=-11

move all terms containing x to the left and all other terms to the right.
+4x-6x=-11-4+18

simplify left and right side of the equation.
-2x=+3

divide both sides of the equation by -2 to get x.
x=-1.5