Answer
$x=\frac{3}{8}$
Work Step by Step
We are given:
$\frac{5}{6}x-\frac{3}{4}=-\displaystyle \frac{7}{16}$
We solve:
$\frac{5}{6}x=-\frac{7}{16}+\frac{3}{4}$
$\frac{5}{6}x=-\frac{7}{16}+\frac{12}{16}$
$\frac{5}{6}x=\frac{5}{16}$
$x=\frac{5}{16}*\frac{6}{5}$
$x=\frac{3}{8}$