I know i should be able to do this but I've got a mind block at the moment.

$\displaystyle \frac{x+5+\frac{4}{x}}{x+3+\frac{-4}{x}}$

i KNOW this rationalizes down to $\displaystyle \frac{x+1}{x-1}$ because that's the answer, but i can't for the life of me figure out why this is the case, i keep getting $\displaystyle \frac{x+9}{x-1}$

any help would be appreciated