Answer
$5x-26y$
Work Step by Step
Using $a(b+c)=ab+ac$, or the Distributive Property, and then combining like terms, the given expression, $
2(5x-3y)-5(x+4y)
,$ simplifies to
\begin{array}{l}\require{cancel}
10x-6y-5x-20y
\\\\=
(10x-5x)+(-6y-20y)
\\\\=
5x-26y
.\end{array}