calculus - Limit of an indeterminate form $infty - infty$.

I would appreciate some help figuring out a way to solve the following limit:

$$\lim_{x\rightarrow \infty} \left(x-e^x \right)$$

I know that $e^x$ is much larger than $x$, and therefore the limit will be $-\infty$. What I would like to know is whether or not there is a way to solve this algebraically. Any one able to help? I can't seem to force L'Hopital's Rule here, nor was I able to use the limit definition of $e$.

Thanks,
Mada