Sum of all real roots of $\frac{{3{x^2} - 9x + 17}}{{{x^2} + 3x + 10}} = \frac{{5{x^2} - 7x + 19}}{{3{x^2} + 5x + 12}}$? 
The sum of real roots of $\dfrac{{3{x^2} - 9x + 17}}{{{x^2} + 3x + 10}} = \dfrac{{5{x^2} - 7x + 19}}{{3{x^2} + 5x + 12}}$ is____


How do I proceed with this type of problem.
Cross multiplying and segregating the coefficient is a cumbersome process
My putting in desmos.com my answer is $«6»$.

Suggestion (Hint):
Use the well-known rule:
$$\frac ab=\frac cd \iff \frac {a-b}{b}=\frac {c-d}{d}$$
Then observe that: $$a-b=c-d$$
