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: 34

Answer

x=9

Work Step by Step

Simplifying 4(x + 18) = 2(4x + 18) Reorder the terms: 4(18 + x) = 2(4x + 18) (18 * 4 + x * 4) = 2(4x + 18) (72 + 4x) = 2(4x + 18) Reorder the terms: 72 + 4x = 2(18 + 4x) 72 + 4x = (18 * 2 + 4x * 2) 72 + 4x = (36 + 8x) Solving 72 + 4x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 72 + 4x + -8x = 36 + 8x + -8x Combine like terms: 4x + -8x = -4x 72 + -4x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 72 + -4x = 36 + 0 72 + -4x = 36 Add '-72' to each side of the equation. 72 + -72 + -4x = 36 + -72 Combine like terms: 72 + -72 = 0 0 + -4x = 36 + -72 -4x = 36 + -72 Combine like terms: 36 + -72 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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