Solve For $x$ Given the Following Equation Involving a Determinant $$\left| \begin{array} { c c } x + 2 & 5 \\- 1 & x + 8\end{array} \right| = 0$$

Multiple Choice

Solve for $x$ given the following equation involving a determinant.
$$\left| \begin{array} { c c } x + 2 & 5 \\- 1 & x + 8\end{array} \right| = 0$$

A) $x = 7,3$
B) $x = - 8 , - 2$
C) $x = 8,2$
D) $x = - 7 , - 3$
E) $x = 6 , - 5$