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: 21

Answer

x=9.6

Work Step by Step

Simplifying 2(25 + -1x) = 3x + 2 (25 * 2 + -1x * 2) = 3x + 2 (50 + -2x) = 3x + 2 Reorder the terms: 50 + -2x = 2 + 3x Solving 50 + -2x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 50 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x 50 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 50 + -5x = 2 + 0 50 + -5x = 2 Add '-50' to each side of the equation. 50 + -50 + -5x = 2 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = 2 + -50 -5x = 2 + -50 Combine like terms: 2 + -50 = -48 -5x = -48 Divide each side by '-5'. x = 9.6 Simplifying x = 9.6
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