I have the following equation:
\documentclass{article}
\usepackage{amsmath}
\usepackage{cases}
\begin{document}
\begin{numcases}{x = }
\label{eq:case1} x+1\\
\label{eq:case2} x-1\\
\label{eq:case3} x/3
\end{numcases}
\end{document}
I want to add conditions in the way shown in the picture below, while maintaining the numbering of the individual cases, as in the initial equation. I tried inserting the second and third cases in an array, but that creates only one numbering for them. Any recommendations would be much appreciated.