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: 35

Answer

x = 25

Work Step by Step

-2(x + 6) + 3(2x - 5) = 3(x - 4) + 10 Apply distributive property: -2(x) - 2(6) + 3(2x) + 3(-5) = 3(x) + 3(-4) + 10 -2x - 12 + 6x - 15 = 3x - 12 + 10 Combine like terms: 4x - 27 = 3x - 2 Subtract 3x from both sides: x - 27 = -2 Add 27 to both sides: x = 25 Check with substitution: -2(25 + 6) + 3(2(25) - 5) = 3(25 - 4) + 10 -2(31) + 3(45) = 3(21) + 10 -62 + 135 = 63 + 10 73 = 73
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