# Long numbered equation in align

I am using for now the following code to produce two equations, that should each be numbered and aligned. However, both equations are too long, so they should be on two lines.

$$\begin{split} \frac{\partial x_{t,i}}{\partial t} &= \alpha(x_{t,i-1}-2x_{t,i}+x_{t,i+1})- \beta(x_{t,i-2}-4x_{t,i-1}+6x_{t,i}-4x_{t,i+1}+x_{t,i+2})\\ &+ f_{x}(x_{t,i},y_{t,i})\\ &= -\beta x_{t,i-2}+(\alpha+4\beta)x_{i-1,t}+ (-2\alpha-6\beta)+x_{i,t} + (\alpha+4\beta)x_{i+1,t})\\ &-\beta x_{t,i+2} + f_{x}(x_{t,i},y_{t,i}) \end{split}$$


The result is this:

But I want both equation to get a number, and that the second line of each equation is more to the middle instead of under the =-sign as I did. I tried the multline, but that does not allow me to align, inserting \ gives me equation numbers for each line (so four in total), so if someone has an idea, that would be great!

You could use the align environment with \nonumber, which suppresses labeling for specified rows:

\begin{align}
\frac{\partial x_{t,i}}{\partial t} &=&& \alpha(x_{t,i-1}-2x_{t,i}+x_{t,i+1})-
\beta(x_{t,i-2}-4x_{t,i-1}+6x_{t,i}-4x_{t,i+1}+x_{t,i+2}) \nonumber\\
&&&+ f_{x}(x_{t,i},y_{t,i})\\
&=&& -\beta x_{t,i-2}+(\alpha+4\beta)x_{i-1,t}+
(-2\alpha-6\beta)+x_{i,t} + (\alpha+4\beta)x_{i+1,t}) \nonumber\\
&&&-\beta x_{t,i+2} + f_{x}(x_{t,i},y_{t,i})
\end{align}


Since this is a multiline display, because it has two numbered items, you need align and can nest split inside it.

I moved the “f_x” term at the beginning to get better breaks: the “alpha” and “beta” terms cannot be squeezed in one line, unless you have a very wide text block.

Note that I smashed the bottom of the fraction so not to push down the second part of the first equation.

\documentclass{article}
\usepackage{amsmath}

\begin{document}

\begin{align}
\begin{split}
\smash[b]{\frac{\partial x_{t,i}}{\partial t}}
&= f_{x}(x_{t,i},y_{t,i}) + \alpha(x_{t,i-1}-2x_{t,i}+x_{t,i+1}) \\