1) It doesn't really appear to be an "equation". It appears to be a definition of a function, "g(x)".
2) I would like to be very sure you have written what you think you have written.
You wrote this:
\(\displaystyle \frac{-3x}{-2x}+5\)
You may have meant this:
\(\displaystyle \frac{-3x}{-2x+5}\)
Please remember your "Order of Operations" and use parentheses to clarify meaning.
Also, why not include he ENTIRE problem statement and some of your work.