Chapter 2 - Equations, Inequalities, and Problem Solving - Review Exercises: Chapter 2 - Page 149: 13

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

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}