Help verify this answer. Determine the limit $$\lim\_{x\to\infty} \frac{20x^2+6x+4}{7x-6-5x^2}$$

I say the answer is $-4$ because what I did was took the highest $x$'s on both sides and divided them. So $\frac{20x^2}{-5x^2}$ and because the $x$'s cancel out so I can't use $\infty$ in place of $x$, I'm left with $-4$.

If anyone can verify that I got the right answer, I would appreciate it.