## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 36

#### Answer

$x=3/8$

#### Work Step by Step

We start by creating a common denominator for all of the fractions: $\frac{5}{20}+\frac{16x}{20}=\frac{11}{20}$ We now can combine the denominators on the same side of the equation: $\frac{16x+5}{20}=\frac{11}{20}$ We then multiply both sides by 20 to find: $16x+5=11$ We subtract 5 and divide by 16 to obtain that $x=6/16$, which equals 3/8. We plug 3/8 in for x and confirm that our answer is, indeed, correct.

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