How to solve this rational equation?

Question

I'm stuck on this rational expression. I factored and simplified, by what do I do next? Should I divide x/2x and 8/4?

I posted my work below.

Thank you!

Answer 1

That's as much as it can be simplified unless you wish to factor out a 2 in the denominator.

Answer 2

Since the numerator and denominator share no common factors, that is as far as you can simplify. $\frac{x+8}{2x+4}$ is your answer.

Answer 3

This is it with additional constraints $x\not=\pm2$,also $$\frac{x+8}{2x+4}\not=\frac{x}{2x}+\frac{8}{4}$$