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: 44

Answer

x = -10/19

Work Step by Step

1. Given: 4[2x - (3 - x) + 5] = -(2 + 7x) 2. Apply Distributive Property: 4[2x - 3 + x + 5] = -2 - 7x 8x - 12 + 4x + 20 = -2 - 7x 3. Add and subtract: 19x = -10 4. Divide: x = -10/19 5. Check: 4[2(-10/19) - (3 -(-10/19)) + 5] = -(2 + 7(-10/19)) 32/19 = 32/19, so -10/19 is a solution of the equation.
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