Answer
$5x+5y+10$
Work Step by Step
The distributive law states that $a(b+c)=ab+ac$ (for real numbers $a$, $b$, and $c$). That is, the product of a number and a sum can be written as two products.
Therefore, $(x+y+2)5=x(5)+y(5)+2(5)=x\times5+y\times5+2\times5=5x+5y+10$.