Answer
$x=-49$.
Work Step by Step
After multiplying both sides by $35$: $5x=7(x+14)=7x+98\\-2x=98\\x=-49$.
Check: $\frac{-49}{7}=-7=\frac{-35}{5}=\frac{-49+14}{5}$, thus it is a good solution.
Thinking Mathematically (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0321867327
ISBN 13:
978-0-32186-732-2
Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 69
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