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: 43

Answer

x = -1

Work Step by Step

1. Given: 2[x - (2x + 4) + 3] = 2(x + 1) 2. Apply Distributive Property: 2[x - 2x - 4 + 3] = 2x + 2, 2x - 4x - 8 + 6 = 2x + 2 3. Add and subtract: -4x = 4 4. Divide: x = -1 5. Check: 2[-1 - (2(-1) + 4) + 3] = 2(-1 + 1) 0 = 0, so -1 is a solution of the equation.
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