#### Answer

$x=0$

#### Work Step by Step

By combining like terms and using the properties of equality, the solution to the given equation, $
5+4x-7=4x-2-x
$, is
\begin{array}{l}
4x-4x+x=-2-5+7
\\\\
x=0
.\end{array}
CHECKING:
\begin{array}{l}
5+4(0)-7=4(0)-2-0
\\\\
5+0-7=0-2-0
\\\\
-2=-2
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=0
$.