Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 46

$x=48$

Multiplying both sides of the equation by $ \dfrac{3}{2} $ (which is the reciprocal of 2/3) and using the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{2}{3}x=32 ,$ is \begin{array}{l}\require{cancel} x=32\cdot\dfrac{3}{2} \\\\ x=\cancel{2}\cdot16\cdot\dfrac{3}{\cancel{2}} \\\\ x=48 .\end{array}