Answer
Choice G
Work Step by Step
Since for any $c\gt0$, $|x|=c$ implies $x=c \text{ or } x=-c.$ The given, $
|x-3|=5
,$ is equivalent to
\begin{array}{l}\require{cancel}
x-3=5
\\\\\text{OR}\\\\
x-3=-5
.\end{array}
Hence, $\text{
Choice G
}.$