Answer
The solutions are:
$x=-10$
$x=-6$
$x=0$
$x=4$
Work Step by Step
To solve the given equation graphically, do the following steps:
(1) Use a graphing utility to graph $y=||x+3|-5|$ (refer to the red graph) and $y=2$ (refer to the blue graph);
(2) Identify the points where the graphs intersect each other. The x-coordinates of these points are the solutions to the given equation.
Thus, the solutions are:
$x=-10$
$x=-6$
$x=0$
$x=4$
(refer to the attached image below for the graph)