Answer
$h=-9$
Work Step by Step
$$\begin{align*}
5h+2(11)-2(h)&=-5 &\text{Apply the Distributive Property}\\
5h+22-2h&=-5 &\text{Simplify.}\\
3h+22&=-5 &\text{Combine like terms.}\\
3h+22-22&=-5-22 &\text{Subtract 22 from each side.}\\
3h&=-27 &\text{Simplify.}\\
\frac{3h}{3}&=\frac{-27}{3} &\text{Divide 3 to both sides.}\\
h&=-9&\text{Simplify.}
\end{align*}$$
Check the answer by substituting $-9$ to the variable in the given equation.
$$\begin{align*}
5h+2(11-h)&=-5\\
5(-9)+2[11-(-9)]&\stackrel{?}{=}-5\\
-45+40&\stackrel{?}{=}-5\\
-5&\stackrel{\checkmark}{=}-5
\end{align*}$$
Thus, the solution is $h=-9$.
