\begin{equation*}
\begin{array}{ll@{}ll}
\text{minimize} & \|Ax-b\|_\infty &\\
\end{array}
\quad
\begin{array}{ll@{}ll}
\text{minimize} & t &\\
\text{subject to} & Ax-b \preceq t \mathbf{1} & \\
& -(Ax-b) \preceq t \mathbf{1}& \\
\end{array}
\end{equation*}
Generates
But it would be better if the two minimize lines would align...
Can anyone help me to align the two equations side by side at "minimize"