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## Homework Statement

trying to solve |2x-1|-|x+5|-3=0:

## Homework Equations

3. The Attempt at a Solution [/B]

for x>1/2 I got x=9

for -5<x<1/2 I got x=-7/3

but for x<-5 I got -(2x-1)-(-(x+5))-3=0 => x=3 (which is incorrect)

why x=3 is incorrect , or why I shouldn't considerate the case x<-5 ?