Answer
$\dfrac{5(4x-3)}{2(5x^2-2)}$
Work Step by Step
The given expression, $
\dfrac{2-\dfrac{3}{2x}}{x-\dfrac{2}{5x}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\dfrac{4x-3}{2x}}{\dfrac{5x^2-2}{5x}}
\\\\=
\dfrac{4x-3}{2x}\div\dfrac{5x^2-2}{5x}
\\\\=
\dfrac{4x-3}{2x}\cdot\dfrac{5x}{5x^2-2}
\\\\=
\dfrac{4x-3}{2\cancel{x}}\cdot\dfrac{5\cancel{x}}{5x^2-2}
\\\\=
\dfrac{5(4x-3)}{2(5x^2-2)}
.\end{array}
