Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.1 - The Additon Property of Equality - Exercise Set: 36

Answer

x = 13

Work Step by Step

-5(x + 1) + 4(2x - 3) = 2(x + 2) - 8 Apply distributive property: -5(x) - 5(1) + 4(2x) + 4(-3) = 2(x) + 2(2) - 8 -5x - 5 + 8x - 12 = 2x + 4 - 8 Combine like terms: 3x - 17 = 2x - 4 Subtract 2x from both sides: x - 17 = -4 Add 17 to both sides: x = 13 Check with substitution: -5(13 + 1) + 4(2(13) - 3) = 2(13 + 2) - 8 -5(14) + 4(23) = 2(15) - 8 -70 + 92 = 30 - 8 22 = 22
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