# How do you simplify - 5/6 - 1/x = -2/3?

$x = - 6$
First, let's get rid of all those denominators by multiplying both sides by $6 x$
$6 x \left(- \frac{5}{6} - \frac{1}{x}\right) = 6 x \cdot - \frac{2}{3}$
$- 5 x - 6 = - 4 x$
$- 6 = x$