# Chapter 2 - Section 2.6 - Absolute Value Equations - Exercise Set: 45

x=-$\frac{12}{5}$ x=2

#### Work Step by Step

Original Equation |5x+1|=11 Take 5x+1 and solve 5x+1=11 Subtract 1 from both sides 5x=10 Divide both sides by 5 x=2 Make 5x+1 negative and solve -5x-1=11 Add 1 to both sides -5x=12 Divide both sides by -5 x=-$\frac{12}{5}$

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