#### Answer

$x=-4$

#### Work Step by Step

Using the properties of equality, the value of the variable that satisfies the given expression, $
2x-7=5x+1-x
,$ is
\begin{array}{l}\require{cancel}
2x-5x+x=1+7
\\\\
-2x=8
\\\\
x=\dfrac{8}{-2}
\\\\
x=-4
.\end{array}