Elementary Technical Mathematics

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

Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises - Page 242: 28

Answer

x=8

Work Step by Step

Simplifying 5(28 + -2x) + -7x = 4 (28 * 5 + -2x * 5) + -7x = 4 (140 + -10x) + -7x = 4 Combine like terms: -10x + -7x = -17x 140 + -17x = 4 Solving 140 + -17x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140' to each side of the equation. 140 + -140 + -17x = 4 + -140 Combine like terms: 140 + -140 = 0 0 + -17x = 4 + -140 -17x = 4 + -140 Combine like terms: 4 + -140 = -136 -17x = -136 Divide each side by '-17'. x = 8 Simplifying x = 8
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