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 - Page 240: 13

Answer

x=-5

Work Step by Step

Simplifying 3x + -2 = 5x + 8 Reorder the terms: -2 + 3x = 5x + 8 Reorder the terms: -2 + 3x = 8 + 5x Solving -2 + 3x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 3x + -5x = 8 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = 8 + 0 -2 + -2x = 8 Add '2' to each side of the equation. -2 + 2 + -2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 8 + 2 -2x = 8 + 2 Combine like terms: 8 + 2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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