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: 27

Answer

x=-1

Work Step by Step

Simplifying 13x + 6 = 6x + -1 Reorder the terms: 6 + 13x = 6x + -1 Reorder the terms: 6 + 13x = -1 + 6x Solving 6 + 13x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 13x + -6x = -1 + 6x + -6x Combine like terms: 13x + -6x = 7x 6 + 7x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 7x = -1 + 0 6 + 7x = -1 Add '-6' to each side of the equation. 6 + -6 + 7x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -1 + -6 7x = -1 + -6 Combine like terms: -1 + -6 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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