#### Answer

$x=\dfrac{1}{2}$

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $
-\dfrac{2}{3}+x=-\dfrac{1}{6}
$, is
\begin{array}{l}\require{cancel}
x=-\dfrac{1}{6}+\dfrac{2}{3}
\\\\
x=-\dfrac{1}{6}+\dfrac{4}{6}
\\\\
x=\dfrac{-1+4}{6}
\\\\
x=\dfrac{3}{6}
\\\\
x=\dfrac{1}{2}
.\end{array}