## Prealgebra (7th Edition)

Published by Pearson

# Chapter 3 - Section 3.3 - Solving Linear Equations in One Variable - Exercise Set - Page 189: 48

#### Answer

The solution is 3

#### Work Step by Step

7n +5=12n-10 Subtract 5 from both sides 7n +5 -5=12n-10 -5 7n =12n-15 Subtract 12n from both sides 7n -12n=12n-15-12n -5n =-15 Divide by -5 on both sides $\frac{-5n}{-5}$=$\frac{-15}{-5}$ n=3 The solution is 3 Check 7n +5=12n-10 Replace x with 3 7$\times$3 +5=12$\times$3 -10 Multiply 21+5=36-10 26=26

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