If $\lceil x\rceil+\lfloor x\rfloor+x=4.8$, solve for $x$.
Since $\lceil x\rceil+\lfloor x\rfloor+x=4.8$, we know that $x$ must be a number ending in $.8$ because $\lceil x\rceil$ and $\lfloor x\rfloor$ will both be integers. This means that $\lceil x\rceil=x+0.2$ and $\lfloor x\rfloor=x-0.8$. Using substitution we can rewrite the original equation as $x+0.2+x-0.8+x=4.8$. So, $3x=5.4$ and $x=\boxed{1.8}$.