Chapter 2 - Equations, Inequalities, and Problem Solving - Test: Chapter 2 - Page 151: 5

$x=2$

Using the properties of equality, the solution to the given equation, $ \dfrac{1}{2}x-\dfrac{3}{5}=\dfrac{2}{5} $, is \begin{array}{l}\require{cancel} \dfrac{1}{2}x=\dfrac{2}{5}+\dfrac{3}{5} \\\\ \dfrac{1}{2}x=\dfrac{2+3}{5} \\\\ \dfrac{1}{2}x=\dfrac{5}{5} \\\\ \dfrac{1}{2}x=1 \\\\ x=1(2) \\\\ x=2 .\end{array}