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