First, please change name of this question (I didn't know how to name this question in appropriate way).
In this my recently asked question I asked how to align some centered equations. Now, I would like to have same result, but with labeled first, third and last equation. I suppose now we can not use multline environment, because with that environment we can label only last equation. @Gonzalo Medina suggested to ask this as new question. Here you MWE (from his answer):
\documentclass{article}
\usepackage{amsmath,amssymb}
\usepackage{lipsum}
\begin{document}
\lipsum[1]
\begin{multline}
A = \lim _{n\rightarrow \infty }\Delta x \Bigl( a^{2}+\bigl( a^{2}+2a\Delta x
+ ( \Delta x ) ^{2}\bigr) \\
\begin{aligned}
&+ \bigl( a^{2}+2\cdot 2a\Delta x+2^{2} ( \Delta x ) ^{2} \bigr)\\
&+ \bigl( a^{2}+2\cdot 3a\Delta x+3^{2} ( \Delta x ) ^{2} \bigr)\\
&+ \cdots\\
&+\bigl( a^{2}+2\cdot (n-1)a\Delta x +(n-1)^{2} ( \Delta x ) ^{2} \bigr) \Bigr)\\
\end{aligned} \\
= \frac{1}{3} ( b^{3}-a^{3} ) + \text{something}
\end{multline}
\lipsum[2]
\end{document}


multlineenvironment (that is left, centered, ..., centered, right, with labels). – Cortizol Jul 20 '15 at 09:25