Answer
The solution is $x=-3$.
Work Step by Step
The given equation is
$\Rightarrow -x-1=\frac{1}{3}x+3$
Write a system of linear equations using each side of the original equation.
$\Rightarrow y=-x-1$ ...... (1)
$\Rightarrow y=\frac{1}{3}x+3$ ...... (2)
Use the graph.
The intersection point is $(-3,2)$.
Check:
$\Rightarrow -x-1=\frac{1}{3}x+3$
$\Rightarrow -(-3)-1=\frac{1}{3}(-3)+3$
$\Rightarrow 3-1=-1+3$
$\Rightarrow 2=2$
True.
Hence, the solution is $x=-3$.