#### Answer

$x=\dfrac{7}{6}$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
6x-5=2
$, is
\begin{array}{l}
6x-5+5=2+5
\\\\
6x=7
\\\\
\dfrac{6x}{6}=\dfrac{7}{6}
\\\\
x=\dfrac{7}{6}
.\end{array}
Checking:
\begin{array}{l}
6\left( \dfrac{7}{6} \right)-5=2
\\\\
7-5=2
\\\\
2=2
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
x=\dfrac{7}{6}
$.