Greatest Integer Function linear equation Given that $2[x]=x+2(x)$, $[x]$ if the Greatest Integer Function and $(x)$ is the fractional part of $x$, find the value (s) of $x$.
I tried replacing $(x)=x–[x]$ but for an equation in $x$ and $[x]$. How do I proceed???

The equation you get by putting $(x)=x-[x]$ is $4[x]=3x$.
Now I believe the best approach would be to graph $[x]$ and $\frac34x$, both of which are pretty basic and easy to plot.
Search for the intersection points which are the required solutions.
