Chapter 1 - Equations and Inequalities - 1.6 Other Types of Equations and Applications - 1.6 Exercises - Page 148: 68

$\{-\frac{2}{3}\}$

Step 1. Given the equation $\sqrt[3] {2x}=\sqrt[3] {5x+2}$ Step 2. Raise 3rd power on both sides to get: $2x=5x+2$ which gives $x=-\frac{2}{3}$ Step 3. Check answer in the original equation: $\{-\frac{2}{3}\}$ fits.