Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.2 - Simplifying Algebraic Expressions - Exercise - Page 218: 58

Answer

$$\frac{1}{4}x -\frac{5}{3}. $$

Work Step by Step

We simplify by removing the parentheses and then combining the like terms as follows: $$ \left(\frac{3}{4}x -1\right)+\left( -\frac{1}{2}x-\frac{2}{3} \right)= \frac{3}{4}x -1-\frac{1}{2}x-\frac{2}{3} \\ = \frac{1}{4}x -\frac{5}{3}. $$
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