Answer
$x=-16$
Work Step by Step
Use the Multiplication Property of Equality by multiplying $-2$ to both sides of the equation:
$$\begin{align*}
[x\div(-2)] \times (-2)&=8 \times (-2)\\
x&=-16\end{align*}$$
Check the solution by substituting $-16$ to the variable in the given equation:
$$\begin{align*}
x\div(-2)&=8\\
-16\div (-2)&\stackrel{?}{=}8\\
8&\stackrel{\checkmark}{=}8\end{align*}$$
Thus, the solution is $x=-16$.