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: 20

Answer

x=3

Work Step by Step

5x - (2x + 2) = x + (3x - 5) Remove paretheses: 5x - (2x + 2) = x + 3x - 5 Add like terms: 5x - (2x + 2) = 4x - 5 Expand the left side of the equation: 5x - (2x + 2) = 3x - 2 Rewrite the equation: 3x - 2 = 4x - 5 Add 2 both sides: 3x = 4x - 3 Simplify x = 3 Check: 5x - (2x + 2) = x + (3x - 5) 5(3) - (2(3) + 2) = 3 + (3(3) - 5) 15 - (8) = 3 + 4 7 = 7 --> TRUE
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