That works super well. Thank you so much for the precious help!
What do you mean by polynomial form? For your example do you want to end up with 9 + 32 x + 2 x^2?
If so, the command would be
Numerator[Together[(2x+5)/(4x-3)-(3x+3)/(7x)]]
One would use the minus sign rather than the equal sign.
