SOLUTION: |2x-1|=5 i really have no idea how to start this

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Question 841926: |2x-1|=5 i really have no idea how to start this

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The entire left side as an absolute value could be treated as a variable. It MUST be positive, being an absolute value, and it is. The right hand member is positive 5.

You know |2x-1| is positive, but you must allow for 2x-1 being separately positive(or zero) and negative.

For the case 2x-1%3E=0,
|2x-1|=2x-1.

For the case 2x-1%3C0,
|2x-1|=-(2x-1)=1-2x.

Do you know what to do now?