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: 26

Answer

x=50

Work Step by Step

Simplifying 6(17 + -1x) = 2 + -4x (17 * 6 + -1x * 6) = 2 + -4x (102 + -6x) = 2 + -4x Solving 102 + -6x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 102 + -6x + 4x = 2 + -4x + 4x Combine like terms: -6x + 4x = -2x 102 + -2x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 102 + -2x = 2 + 0 102 + -2x = 2 Add '-102' to each side of the equation. 102 + -102 + -2x = 2 + -102 Combine like terms: 102 + -102 = 0 0 + -2x = 2 + -102 -2x = 2 + -102 Combine like terms: 2 + -102 = -100 -2x = -100 Divide each side by '-2'. x = 50 Simplifying x = 50
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