#### Answer

$x=4$

#### Work Step by Step

By combining like terms and using the properties of equality, the solution to the given equation, $
7+3x-6=3x+5-x
$, is
\begin{array}{l}
3x-3x+x=5-7+6
\\\\
x=4
.\end{array}
CHECKING:
\begin{array}{l}
7+3(4)-6=3(4)+5-4
\\\\
7+12-6=12+5-4
\\\\
13=13
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=4
$.