#### Answer

$x=0$

#### Work Step by Step

By combining like terms and by using the properties of equality, the solution to the given equation, $
6x+3=2x+3
$, is
\begin{array}{l}\require{cancel}
6x-2x=+3-3
\\\\
4x=0
\\\\
x=\dfrac{0}{4}
\\\\
x=0
.\end{array}
Checking:
\begin{array}{l}\require{cancel}
6(0)+3=2(0)+3
\\\\
3=3
\text{ (TRUE)}
.\end{array}
Hence, $
x=0
$.