Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Practice and Problem-Solving Exercises - Page 106: 21

Answer

q=25

Work Step by Step

$3(q-5)=2(q+5) \\\\ 3q-15=2q+10 \\\\ q-15=10 \\\\ q=25$ We first use the distributive property on both sides of the equation to simplify. We then subtract 2q on both sides. Next, we add 15 to both sides to get that q=25. We plug 25 in for q and confirm that our answer is, indeed, correct.
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