Chapter 1 - Equations and Inequalities - Chapter 1 Test Prep - Review Exercises - Page 181: 111

$-\frac{2}{7}, \frac{4}{3}$

Step 1. We can remove the absolute sign and separate the cases to: $5x-1=2x+3$ and $5x-1=-2x-3$ Step 2. For $5x-1=2x+3$, we have $3x=4$, thus $x=\frac{4}{3}$ Step 3. For $5x-1=-2x-3$, we have $7x=-2$, thus $x=-\frac{2}{7}$ Step 4. Check the answers and they fit, thus the solutions are $x=-\frac{2}{7}$ and $x=\frac{4}{3}$