Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.4 - Solving Linear Equations - Exercise Set - Page 50: 16

Answer

x = -1

Work Step by Step

Expand the equation: 2(x - 1) + 3 = x - 3(x + 1) 2x - 2 + 3 = x - 3x - 3 Combine like terms: 2x + 3x - x = -3 + 2 - 3 Simplify: 4x = -4 Divide both sides by 4: x = -1 Check your answer by substituting the value of x=-1 to the original equation: 2(x - 1) + 3 = x - 3(x + 1) 2(-1-1) + 3 = -1 - 3(-1+1) 2(-2) + 3 = -1 -4 + 3 = -1 -1 = -1 --> TRUE
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