Answer
$x=3$
Work Step by Step
Using the properties of equality, the value of the variable that satisfies the given equation, $
-7=-3x+2
,$ is
\begin{array}{l}\require{cancel}
3x-7=2\\\\
3x=2+7
\\\\
3x=9
\\\\
x=\dfrac{9}{3}
\\\\
x=3
.\end{array}