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: 46

Answer

x = -1/2

Work Step by Step

1. Given: -[6x - (4x + 8)] = 9 + (6x + 3) 2. Apply Distributive Property: -(6x - 4x - 8) = 9 + 6x + 3 -6x + 4x + 8 = 9 + 6x + 3 3. Add and subtract: -8x = 4 4. Divide: x = -1/2 5. Check: -[6(-1/2) - (4(-1/2) + 8)] = 9 + (6(-1/2) + 3) 9 = 9, so -1/2 is a solution of the equation.
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