Answer
The solution set is $\left\{11\right\}$.
Work Step by Step
Solve using the different properties of Algebra to find:
$6x=63+3
\\6x=66
\\x =\frac{66}{6}
\\x=11$
Check:
$6(11)-3\stackrel{?}{=}63
\\66-3\stackrel{?}{=}63
\\63 \stackrel{\checkmark}{=}63$
The solution set is $\left\{11\right\}$.