I would like to write two equations side by side within a list (itemize). I have tried as follows:
\begin{itemize}
\item first item:
\begin{align}
x = y && a = b
\end{align}
\item second item:
\begin{align}
x = y1+x3+253+x && a = 3*b_1
\end{align}
\end{itemize}
Between the two formulas I would like to write 'or' instead of leaving a blank space. And also, trying to align all of them (centering?).
Do you know how I can do that?

