Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.2 - Equations with Variables in Both Members - Exercises: 19

Answer

x=-9

Work Step by Step

Simplifying 27 + 5x = 9 + 3x Solving 27 + 5x = 9 + 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. 27 + 5x + -3x = 9 + 3x + -3x Combine like terms: 5x + -3x = 2x 27 + 2x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 2x = 9 + 0 27 + 2x = 9 Add '-27' to each side of the equation. 27 + -27 + 2x = 9 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 9 + -27 2x = 9 + -27 Combine like terms: 9 + -27 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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