It doesn't seem especially tough but there's not an example in the book and it was on a quiz today. Please note that I did consult the Inequality sticky at the top of the forum but I didn't see one quite like this. I apologize in advance if I missed it.
My first thought was to multiply everything by the denominator 3 so that:
Then: add 3 to 6 so that:
Then: divide by 3 so that:
Then: add 1 to both sides so that:
x is equal to +2 and x is equal to -2
It seemed tidy enough at the time but I have a feeling it's wrong; that maybe I should multiplied 2x-1 by 3 at some point or that I'm remiss in some way or another. Any and all help is appreciated. Thanks.