Chapter 3 - Solving Inequalities - 3-8 Unions and Intersections of Sets - Practice and Problem-Solving Exercises - Page 220: 56

$x = -\frac{4}{3}$ or $x = \frac{4}{3}$

First, we subtract $1$ from each side of the equation: $2|3x| = 8$ Divide each side by $2$: $|3x| = 4$ Divide each side by $3$: $|x| = \frac{4}{3}$ Take the absolute value of both sides of the equation: $x = -\frac{4}{3}$ or $x = \frac{4}{3}$