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: 58

Answer

x = -13.33333333

Work Step by Step

Simplifying 5.2(x + 3) + 3.7(2 + -1x) = 3 Reorder the terms: 5.2(3 + x) + 3.7(2 + -1x) = 3 (3 * 5.2 + x * 5.2) + 3.7(2 + -1x) = 3 (15.6 + 5.2x) + 3.7(2 + -1x) = 3 15.6 + 5.2x + (2 * 3.7 + -1x * 3.7) = 3 15.6 + 5.2x + (7.4 + -3.7x) = 3 Reorder the terms: 15.6 + 7.4 + 5.2x + -3.7x = 3 Combine like terms: 15.6 + 7.4 = 23 23 + 5.2x + -3.7x = 3 Combine like terms: 5.2x + -3.7x = 1.5x 23 + 1.5x = 3 Solving 23 + 1.5x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 1.5x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 1.5x = 3 + -23 1.5x = 3 + -23 Combine like terms: 3 + -23 = -20 1.5x = -20 Divide each side by '1.5'. x = -13.33333333 Simplifying x = -13.33333333
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