#### Answer

$-11$ 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.