Answer
$x = 6$
Work Step by Step
$\frac{3}{x} - \frac{1}{3} = \frac{1}{6}$
The least common multiple (LCM) of the denominators $x$, 3 and 6 is 6$x$.
$6x \times (\frac{3}{x} - \frac{1}{3}$) = $\frac{1}{6} \times 6x$
$18 - 2x = x$
$-3x = -18$
$x = 6$
