# Chapter 1 - 1.6 - Other Types of Equations - 1.6 Exercises - Page 128: 59

Solutions: $x=8$ and $x=-3$

#### Work Step by Step

$|2x-5|=11$ 1) The value inside the bars is positive: $2x-5=11$ $2x=16$ $x=8$ 2) The value inside the bars is negative: $-(2x-5)=11$ $2x-5=-11$ $2x=-6$ $x=-3$ Testing: - $x=2$: $|2(8)-5|=|11|=11$ - $x=-3$: $|2(-3)-5|=|-11|=11$

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