calculus - Difficult Limit Question $frac{0}{0}$ indeterminate form

I am trying to solve this limit:

$$\lim_{x\to 0}\frac{\pi\sin{x}-\sin{\pi x}}{x(\cos{x}-\cos(\pi x))}$$

I've tried solving it using l'hopital and conjugating.

Any solution, tip, or direction will be appreciated.

Thanks in advance,
Michael.