Answer
$x\gt-\dfrac{10}{3}$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
6x+7\gt3x-3
,$ is
\begin{array}{l}\require{cancel}
6x-3x\gt-3-7
\\\\
3x\gt-10
\\\\
x\gt-\dfrac{10}{3}
.\end{array}