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: 25

Answer

x=4

Work Step by Step

Simplifying 6x + 2 = 2(17 + -1x) Reorder the terms: 2 + 6x = 2(17 + -1x) 2 + 6x = (17 * 2 + -1x * 2) 2 + 6x = (34 + -2x) Solving 2 + 6x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 6x + 2x = 34 + -2x + 2x Combine like terms: 6x + 2x = 8x 2 + 8x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 8x = 34 + 0 2 + 8x = 34 Add '-2' to each side of the equation. 2 + -2 + 8x = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 34 + -2 8x = 34 + -2 Combine like terms: 34 + -2 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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