If $f:\mathbb{R}\setminus\{0,1\}\to\mathbb{R}$ satisfies $f(x)+2f\left(\frac 1 x\right)+3f\left(\frac x {x-1}\right)=x$, then $8f(4)=?$

Question

Let $f: \Bbb{R}\setminus\{0,1\}\to \Bbb{R}$ be a function such that $$f(x)+2f\left(\frac 1 x\right)+3f\left(\frac x {x-1}\right)=x\text{ for all }x\neq 0,1\,.$$
Then, $8f(4)=$ ?

My Attempt.

Is it correct?