Answer
$x=-1$
Work Step by Step
Using the properties of equality, the value of the variable that satisfies the given expression, $
2x=5+7x
,$ is
\begin{array}{l}\require{cancel}
2x-7x=5
\\\\
-5x=5
\\\\
x=\dfrac{5}{-5}
\\\\
x=-1
.\end{array}