#### Answer

x= $\frac{3}{8}$

#### Work Step by Step

$\frac{1}{4}$ + $\frac{4x}{5} = \frac{11}{20}$
Multiply both sides of the equation by 20 to eliminate the denominators.
5 + $16x$ = 11
Subtract 5 from both sides.
$16x = 6$
Divide both sides by 16 to isolate x.
$x=\frac{6}{16} = \frac{3}{8}$