Answer
$\left\{ x| x=\dfrac{3}{4} \right\}$
Work Step by Step
Using the properties of equality, the given equation, $
7x-3+2x=9x-8x
,$ is equivalent to
\begin{array}{l}\require{cancel}
5x-3=x
\\\\
5x-x=3
\\\\
4x=3
\\\\
x=\dfrac{3}{4}
.\end{array}
Hence, the solution is $
\left\{ x| x=\dfrac{3}{4} \right\}
.$