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: 2

Answer

x=31

Work Step by Step

Simplifying -3x + 5(x + -6) = 32 Reorder the terms: -3x + 5(-6 + x) = 32 -3x + (-6 * 5 + x * 5) = 32 -3x + (-30 + 5x) = 32 Reorder the terms: -30 + -3x + 5x = 32 Combine like terms: -3x + 5x = 2x -30 + 2x = 32 Solving -30 + 2x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 2x = 32 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = 32 + 30 2x = 32 + 30 Combine like terms: 32 + 30 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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