Answer
$2$
Work Step by Step
The given expression, $
\dfrac{2x-6}{x-1}-\dfrac{4}{1-x}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{2x-6}{x-1}-\dfrac{4}{-(x-1)}
\\\\=
\dfrac{2x-6}{x-1}+\dfrac{4}{x-1}
\\\\=
\dfrac{2x-6+4}{x-1}
\\\\=
\dfrac{2x-2}{x-1}
\\\\=
\dfrac{2(x-1)}{x-1}
\\\\=
\dfrac{2(\cancel{x-1})}{\cancel{x-1}}
\\\\=
2
.\end{array}
