Answer
$x=\left\{-10, -6, 0, 4\right\}$
Refer to the image below for the graph.
Work Step by Step
To solve the given equation graphically, perform the following steps:
(1) Let each side of the equation represent a function then graph each function on the same coordinate plane.
Graph $y=||x+3|-5|$ (the blue graph) and $y=2$ (the red graph).
(refer to the attached image in the answer part above for the graph)
(2) Identify the point/s where the two graphs intersect. The x-coordinate of point of intersection is a solution of the given equation.
The graphs intersect at $(-10, 2)$, $(-6, 2)$, $(0, 2)$, and $(4, 2)$.
Therefore, the solutions to the given equation are:
$x=\left\{-10, -6, 0, 4\right\}$
