## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 6 - Algebra: Equations and Inequalities - 6.2 Linear Equations in One Variable and Proportions - Exercise Set 6.2 - Page 362: 69

#### 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.

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