Aligning equation on the left

Question

I need to align equations of the left.

I wrote the following according to this topic : Align equation left

\begin{flalign}
p(1-p)^2 (\alpha |001\rangle + \beta |110 \rangle).hc +p^2(1-p) (\alpha |110\rangle + \beta |001 \rangle).hc& \\ \rightarrow X_3 \left( p(1-p)^2 (\alpha |001\rangle + \beta |110 \rangle).hc +p^2(1-p) (\alpha |110\rangle + \beta |001 \rangle).hc \right) X_3& \\
= p(1-p)^2 (\alpha |000\rangle + \beta |111 \rangle).hc +p^2(1-p) (\alpha |111\rangle + \beta |000 \rangle).hc& 
\end{flalign}

But the render is not good, and I have numerotations on the right :

The render is not good because as you can see the first line is not left aligned.

I don't understand what I did wrong (because in the topic associated they basically just use flalign as I did...??)

Answer 1

Does something like that would suit you ?

\documentclass[a4paper]{article}
\usepackage[fleqn]{amsmath}
\usepackage{mathtools}
\begin{document}
\begin{equation}
\begin{aligned}
&a = k\\
&b = k = l\\
&c = k = l = h
\end{aligned}
\end{equation}

\begin{equation}
d = k = l = h = m
\end{equation}

\end{document} 

Answer 2

Will the following be good enough?

\documentclass{article}
\usepackage{amsmath, nccmath}
\usepackage{geometry}

\begin{document}

Some text. Some more text. Some more text. Some more text. Some more text. Some more text. Some more text. Some more text. Some more text. Some more text. Some more text.

\begin{align}
        \nonumber
        &p(1-p)^2 (\alpha |001\rangle + \beta |110 \rangle).hc +p^2(1-p) (\alpha |110\rangle + \beta |001 \rangle).hc \\
        \nonumber
        &\rightarrow X_3 \left( p(1-p)^2 (\alpha |001\rangle + \beta |110 \rangle).hc +p^2(1-p) (\alpha |110\rangle + \beta |001 \rangle).hc \right) X_3 \\
        \nonumber
        &= p(1-p)^2 (\alpha |000\rangle + \beta |111 \rangle).hc +p^2(1-p) (\alpha |111\rangle + \beta |000 \rangle).hc
\end{align}
\end{document}