Answer
$96x-77$
Work Step by Step
Using $a(b+c)=ab+ac$ (or the Distributive Property), and combining like terms, the given expression, $
7-4[2(3-2x)-5(4x-3)]
,$ simplifies to
\begin{array}{l}\require{cancel}
7-4[6-4x-20x+15]
\\\\=
7-4[-24x+21]
\\\\=
7+96x-84
\\\\=
96x+(-84+7)
\\\\=
96x-77
.\end{array}