Answer
a = -6
Work Step by Step
$\frac{a+5}{4}$+$\frac{a+5}{2}$=$\frac{a}{8}$
8($\frac{a+5}{4}$+$\frac{a+5}{2}$)=8$\frac{a}{8}$
8$\frac{a+5}{4}$+8$\frac{a+5}{2}$=a
2(a+5)+4(a+5)=a
2a+10+4a+20=a
6a+30=a
6a-a+30=0
5a=-30
a=-6
The solution is -6
Check
Let x=-6
$\frac{a+5}{4}$+$\frac{a+5}{2}$=$\frac{a}{8}$
$\frac{-6+5}{4}$+$\frac{-6+5}{2}$=$\frac{-6}{8}$
$\frac{-1}{4}$+$\frac{-1}{2}$=$\frac{-3}{4}$
$\frac{-1}{4}$+$\frac{-2}{4}$=$\frac{-3}{4}$
$\frac{-3}{4}$=$\frac{-3}{4}$
