SOLUTION: How do I solve |3x+1|=|3x-1|?

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Question 869718: How do I solve |3x+1|=|3x-1|?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Very briefly, either they are opposite in sign or the same in sign.

3x+1=-(3x-1)
3x+1=-3x+1
6x=0
x=0----the only answer.

OR

3x+1=3x-1
1=-1, false.
No Solution.