Answer
$x\lt3$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
6x+3-8x\gt-3
,$ is
\begin{array}{l}\require{cancel}
6x-8x\gt-3-3
\\\\
-2x\gt-6
\\\\
x\lt\dfrac{-6}{-2}
\\\\
x\lt3
.\end{array}