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