Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - Mid-Chapter Review - Mixed Review - Page 602: 11


$$x=-\frac{8}{3}\quad \mathrm{or}\quad \:x=\frac{8}{3}$$

Work Step by Step

Since the value inside the absolute value can be positive or negative and get the same number, we must consider both options. Doing this, we find: $$ 2+\left|3x\right|=10\\ \left|3x\right|=8\\ 3x=-8\quad \mathrm{or}\quad \:3x=8\\ x=-\frac{8}{3}\quad \mathrm{or}\quad \:x=\frac{8}{3}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.