Check my work on rational expressions? medal!

Question

theyankee · Answer

I solved this equation

theyankee · Answer

And ended up with
 3(x-1)
2x-1
But I'm very unsteady with these sorts of things. Check my work?

anonymous · Answer

first, factor the denominator of the first rational function.
From that you'll know the common denominator of both the functions.

anonymous · Answer

I'm trying to solve it now, and I'll check if we got the same thing

theyankee · Answer

Factored, isn't it (2x-1)(x-3)?
Then the x-3s would cancel out.

anonymous · Answer

nope, it should be (2x+1)(x-3)

theyankee · Answer

Oops! Sorry. that's what I meant; typo. The buttons are right next to each other lol

anonymous · Answer

so it will look like this:
|dw:1433537147204:dw|
then since they already have the same denominator, it will be like this:
|dw:1433537285450:dw|