Algebra 1: Common Core (15th Edition)

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

Chapter 2 - Solving Equations - 2-9 Percents - Practice and Problem-Solving Exercises - Page 143: 56



Work Step by Step

We first add 15 to both sides to get that x/2 + x/3 =15. We need a common denominator (bottom of the fraction) to add the numerators (tops of the fractions). Thus, we multiply $\frac{x}{3}$ by $\frac{2}{2}$ to get $\frac{2x}{6}$, and we multiply $\frac{x}{2}$ by $\frac{3}{3}$ to get $\frac{3x}{6}$. We add the two fractions to get that $\frac{5x}{6}=15$. We multiply both sides by 6 to get that 5x=90. We finally divide both sides by 5 to get that x=18.
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