Answer
$\dfrac{64}{3}$
Work Step by Step
The given expression, $
\dfrac{\dfrac{5}{x}-\dfrac{7}{3x}}{\dfrac{9}{8x}-\dfrac{1}{x}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\dfrac{3(5)-1(7)}{3x}}{\dfrac{1(9)-8(1)}{8x}}
\\\\=
\dfrac{\dfrac{15-7}{3x}}{\dfrac{9-8}{8x}}
\\\\=
\dfrac{\dfrac{8}{3x}}{\dfrac{1}{8x}}
\\\\=
\dfrac{8}{3x}\div\dfrac{1}{8x}
\\\\=
\dfrac{8}{3x}\cdot\dfrac{8x}{1}
\\\\=
\dfrac{8}{3\cancel{x}}\cdot\dfrac{8\cancel{x}}{1}
\\\\=
\dfrac{64}{3}
.\end{array}
