Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.7 - Equations - Concept and Vocabulary Check - Page 105: 3

Answer

Fill the blank with: distribute $3(x-2)$ into $3x-6$ (distributive property)

Work Step by Step

When solving a linear equation, we want to isolate the unknown (x) on one side. If it is entangled inside parentheses or part of a fraction, we perform actions to get x out of them. Here, x is inside a set of parentheses. To "set it free" we distribute the 3 over the parentheses; so instead of $3(x-2)$ we write $3x-6$ and continue simplifying. Fill the blank with: distribute $3(x-2)$ into $3x-6$
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