#### Answer

x = -3

#### Work Step by Step

$\frac{x}{4}$+$\frac{4}{5}$=$\frac{1}{20}$
20($\frac{x}{4}$+$\frac{4}{5}$)=$\frac{1}{20}$
20$\frac{x}{4}$+20$\frac{4}{5}$=20$\frac{1}{20}$
5x+4*4=1
5x+16=1
5x+16-16=1-16
5x=-15
x=-3
Check x=-3
$\frac{x}{4}$+$\frac{4}{5}$=$\frac{1}{20}$
$\frac{-3}{4}$+$\frac{4}{5}$=$\frac{1}{20}$
20$\frac{-3}{4}$+20$\frac{4}{5}$=20$\frac{1}{20}$
5(-3)+4*4=1
-15+16=1
1=1