#### Answer

The solution is $x=-3$.
The graph is shown below.

#### Work Step by Step

The given equation is
$\Rightarrow \frac{1}{3}x+5=-2x-2$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y=\frac{1}{3}x+5$ ...... (1)
$\Rightarrow y=-2x-2$ ...... (2)
By using graphing calculator graph the system.
The intersection point is $(-3,4)$.
Check:
$\Rightarrow \frac{1}{3}x+5=-2x-2$
$\Rightarrow \frac{1}{3}(-3)+5=-2(-3)-2$
$\Rightarrow -1+5=6-2$
$\Rightarrow 4=4$
True.
Hence, the solution is $x=-3$.