Multiline example (amsmath package)
\begin{multline}
\biggl(\sum_{\,i\in\mathbf{n}}a_{l _i}x_i\biggr) \det\mathbf{K}
(t=1,x_1,\dots,x_n;l |l )\\
=\biggl(\prod_{\,i\in\mathbf{n}}\hat x_i\biggr)
\sum_{I\subseteq\mathbf{n}-\{l \}}
(-1)^{\envert{I}}\per\mathbf{A}^{(\lambda)}(I|I)
\det\mathbf{A}^{(\lambda)}
(\overline I\cup\{l \}|\overline I\cup\{l \}).
\label{sum-ali}
\end{multline}
Equation and split example (amsmath package, see attachment)
\begin{equation}
\begin{split}
\framebox{BOX1} & = \framebox{BOX2} \\ & = \framebox{BOX3}
\end{split}
\end{equation}
Align for simple equation array with one number
\begin{align}
& \lambda_1^2 - \lambda_2^2 + (k_1+k_2+k_3)( \lambda_1 - \lambda_2) = 0 \nonumber \\
& \Rightarrow k_1+k_2+k_3 = -(\lambda_1 + \lambda_2)
\end{align}