Answer
$\dfrac{\sqrt[4]{3}}{5x}$
Work Step by Step
Using the properties of radicals, then,
\begin{array}{l}
\dfrac{\sqrt[4]{48}}{5x}-\dfrac{2\sqrt[4]{3}}{10x}
\\\\=
\dfrac{\sqrt[4]{16\cdot3}}{5x}-\dfrac{\sqrt[4]{3}}{5x}
\\\\=
\dfrac{2\sqrt[4]{3}}{5x}-\dfrac{\sqrt[4]{3}}{5x}
\\\\=
\dfrac{\sqrt[4]{3}}{5x}
.\end{array}