#### Answer

a = -1

#### Work Step by Step

$\frac{2a}{a+2}$-5=$\frac{7a}{a+2}$
(a+2)$\frac{2a}{a+2}$-5(a+2)=(a+2)$\frac{7a}{a+2}$
2a-5a-10=7a
-3a-10=7a
-10=7a+3a
-10=10a
a=-1
The solution is -1
Check -1
$\frac{2a}{a+2}$-5=$\frac{7a}{a+2}$
$\frac{2(-1)}{-1+2}$-5=$\frac{7(-1)}{-1+2}$
$\frac{-2}{1}$-5=$\frac{-7}{1}$
-2-5=-7
-7=-7