Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Test - Page 325: 31

Answer

x = -4

Work Step by Step

$\frac{x}{5}$ + x = -$\frac{24}{5}$ Muliply both sides of the equation by the LCD, 5, to cancel out the 5 in the denominators of $\frac{x}{5}$ and -$\frac{24}{5}$: 5($\frac{x}{5}$ + x) = 5(-$\frac{24}{5}$) 5($\frac{x}{5}$) + 5x = 5(-$\frac{24}{5}$) Now, cancel out the denominators of of $\frac{x}{5}$ and -$\frac{24}{5}$. x + 5x = -24 Combine like terms: 6x = -24 Divide both sides by 6 to find x: 6x $\div$ 6 = (-24 $\div$ 6) x = -4
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