Introductory Algebra for College Students (7th Edition)

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

Chapter 2 - Section 2.2 - The Multiplication Property of Equality - Exercise Set - Page 130: 66

Answer

The statement translates to the equation: $−5x + 11 = −29$. Solving for $x$, we get: $x = 8$.

Work Step by Step

We start translating this statement with "negative five times a number." Translated, this phrase gives us: $−5x$ The next portion is, "increased by $11$," which translates to: $+11$ The last part, "is $−29$," gives us: $ = −29$ We put the sentence all together to get: $−5x + 11 = −29$ We begin solving this equation by subtracting $−11$ from each side: $−5x + 11 = −29$ $−5x = −40$ We isolate $x$ by itself by dividing each side by $−5$: $x = 8$
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