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: 16

Answer

x=-2

Work Step by Step

Simplifying 5x + -7 = 6x + -5 Reorder the terms: -7 + 5x = 6x + -5 Reorder the terms: -7 + 5x = -5 + 6x Solving -7 + 5x = -5 + 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. -7 + 5x + -6x = -5 + 6x + -6x Combine like terms: 5x + -6x = -1x -7 + -1x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -1x = -5 + 0 -7 + -1x = -5 Add '7' to each side of the equation. -7 + 7 + -1x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -5 + 7 -1x = -5 + 7 Combine like terms: -5 + 7 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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