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: 65

Answer

The translated statement is: $-3x + 15 = -6$ Solving the equation, we get: $x = 7$

Work Step by Step

We start translating this statement with "negative three times a number." Translated, this phrase gives us: $-3x$ The next portion is, "increased by 15," which translates to: $+15$ The last part, "is $-6$," gives us: $ = -6$ We put the sentence all together to get: $-3x + 15 = -6$ We begin solving this equation by subtracting $-15$ from each side: $-3x = -6 - 15$ $-3x = -21$ We isolate $x$ by itself by dividing each side by $-3$: $x = 7$
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