SMO 2024 Junior Round 1 Question 5

Let $x,y,z$ be real numbers such that $x\ne0$, $y-z\ne0$ and $z+x\ne0$. If $\frac2x=\frac4{y-z}=\frac5{z+x}$, find the value of $\frac{7x-y}{y+2z}$.