Answer
$13x+22y$
Work Step by Step
Using $a(b+c)=ab+ac$, or the Distributive Property, and then combining like terms, the given expression, $
5(x+2y)+4(2x+3y)
,$ simplifies to
\begin{array}{l}\require{cancel}
5x+10y+8x+12y
\\\\=
(5x+8x)+(10y+12y)
\\\\=
13x+22y
.\end{array}