Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.1 - Linear Equations in One Variable - 1.1 Exercises - Page 52: 51

Answer

x = 3/2

Work Step by Step

1. Given: -[3x - (2x + 5)] = -4 - [3(2x - 4) - 3x] 2. Apply Distributive Property: -[3x - 2x - 5] = -4 - [6x - 12 - 3x] -3x + 2x + 5 = -4 - 6x + 12 + 3x 3. Add and subtract: 2x = 3 4. Divide: x = 3/2 5. Check: -[3*3/2 - (2*3/2 + 5)] = -4 - [3(2*3/2 - 4) - 3*3/2] 7/2 = 7/2, so 3/2 is a solution of the equation.
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