Answer
$-6x^2+2x-12$
Work Step by Step
By combining like terms, the given expression, $
(4x^2-x-7)-(10x^2-3x+5)
$, simplifies to
\begin{array}{l}\require{cancel}
4x^2-x-7-10x^2+3x-5
\\\\=
(4x^2-10x^2)+(-x+3x)+(-7-5)
\\\\=
-6x^2+2x-12
.\end{array}