Answer
The solutions are $x=8$ and $x=-2$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow |x-3|+4=9$
Subtract $4$ from each side.
$\Rightarrow |x-3|+4-4=9-4$
Simplify.
$\Rightarrow |x-3|=5$
Write related linear equations.
$\Rightarrow x-3=5$ or $x-3=-5$
Add $3$ to each side.
$\Rightarrow x-3+3=5+3$ or $x-3+3=-5+3$
Simplify.
$\Rightarrow x=8$ or $x=-2$
The solutions are $x=8$ and $x=-2$.
