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 51: 65

Answer

x = -2

Work Step by Step

4x + 13 - {2x - [4(x - 3) - 5]} = 2(x - 6) Expand {2x - [4(x - 3) - 5]}: 2x - [(4x - 12) - 5] 2x - [4x -12 - 5] 2x - (4x - 17) 2x - 4x + 17 -2x + 17 Expand 2(x - 6) = 2x - 12 Rewrite the equation: 4x + 13 - (-2x + 17 ) = 2x - 12 4x + 13 +2x - 17 = 2x - 12 6x - 4 = 2x - 12 Add 4 to both sides: 6x - 4 +4 = 2x - 12 + 4 6x = 2x - 8 4x = -8 Divide both sides by 4: x = -2
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