Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.8 - Exponents and Order of Operations - Exercise Set - Page 100: 93

Answer

We came up with the expression $x - (5x + 8)$, which can be simplified as $-4x - 8$.

Work Step by Step

First, we need to translate the different portions of this problem: Multiply a number by $5$: $$5x$$ Add $8$ to this product: $$5x + 8$$ Subtract this sum from the number: $$x - (5x + 8)$$ When we subtract an expression in parentheses, we add the opposite of every term within the parentheses. We get rid of the parentheses in this way: $$x - 5x - 8$$ Group like terms: $$(x - 5x) - 8$$ Combine like terms: $$-4x - 8$$ We came up with the expression $x - (5x + 8)$, which can be simplified as $-4x - 8$.
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