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: 57


$$\frac{5}{4}x -\frac{8}{3}. $$

Work Step by Step

We simplify by removing the parentheses and then combining the like terms as follows: $$ \left(\frac{1}{2 } x-\frac{2}{3}\right)-\left(2-\frac{3}{4 }x \right)= \frac{1}{2}x -\frac{2}{3}- 2+\frac{3}{4 }x \\ = \frac{5}{4}x -\frac{8}{3}. $$
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