Answer
$x=3/8$
Work Step by Step
We start by creating a common denominator for all of the fractions:
$\frac{5}{20}+\frac{16x}{20}=\frac{11}{20}$
We now can combine the denominators on the same side of the equation:
$\frac{16x+5}{20}=\frac{11}{20}$
We then multiply both sides by 20 to find:
$16x+5=11$
We subtract 5 and divide by 16 to obtain that $x=6/16$, which equals 3/8.
We plug 3/8 in for x and confirm that our answer is, indeed, correct.
