$-11$ is not a solution to this equation.
Work Step by Step
To see if $-11$ is a solution of this equation, we need to substitute $-11$ for $x$ into the equation to see if both sides of the equation equal one another. If both sides of the equation evaluate to the same value, then $-11$ is a solution of the equation. Let us substitute $-11$ for $x$: $$4(-11) + 2 = 3(-11 - 6) + 8$$ Let us evaluate what is in parentheses first: $$4(-11) + 2 = 3(-17) + 8$$ Next, we do the multiplication, according to order of operations: $$-44 + 2 = -51 + 8$$ Do the addition: $$-42 = -43$$ The two sides of the equation are not equal to one another; therefore $-11$ is not a solution to this equation.