Hamilton Mathematical Olympiad 2020 Q5

We write $\lfloor x\rfloor$ to represent the largest integer less than or equal to $x$.So, for example, $\lfloor 1.7\rfloor=1$, $\lfloor 2\rfloor=2$, $\lfloor \pi\rfloor=3$ and $\lfloor -0.4\rfloor=-1$.

Find all real values of $x$ such that $\lfloor3x+4\rfloor=\lfloor5x-1\rfloor$.