#### Answer

$x=3$

#### Work Step by Step

By combining like terms and by using the properties of equality, the solution to the given equation, $
6x-5=7+2x
$, is
\begin{array}{l}\require{cancel}
6x-2x=7+5
\\\\
4x=12
\\\\
x=\dfrac{12}{4}
\\\\
x=3
.\end{array}
Checking:
\begin{array}{l}\require{cancel}
6(3)-5=7+2(3)
\\\\
18-5=7+6
\\\\
13=13
\text{ (TRUE)}
.\end{array}
Hence, $
x=3
$.