I am writing some algebra notes and unfortunately I have some problem with the alignment of some equation: exactly the equation appears aligned on the right whereas I would like they are aligned on the left as showed into this image which is form a paper written in a doc. format.
So I wrote this code hoping I would obtained a text as into the image above.
\documentclass{article}
\usepackage{titlesec}
\usepackage{mathrsfs}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage[flneq]{amsmath}
\usepackage{txfonts}
\usepackage{layout}
\usepackage[paperheight=29.7cm,paperwidth=21cm,textwidth=17cm,textheight=25 cm]{geometry}
\linespread{1.5}
\setcounter{equation}{-1}
\newtheorem{lemma}{Lemma}
\setcounter{lemma}{-1}
\newtheorem{proposition}{Proposizione}
\setcounter{proposition}{-1}
\newtheorem{corollary}{Corollario}
\setcounter{corollary}{-1}
\newtheorem{theorem}{Teorema}
\setcounter{theorem}{-1}
\begin{document}
\begin{align*}
x_{i\big(\sigma(0)\big)}\bot\dots\bot x_{i\big(\sigma(m)\big)}\bot x_{i\big(\sigma(m+1)\big)}=\\
x_{i\Big(\psi_\sigma^{m+1}\big(\varphi_\sigma^{m+1}(0)\big)\Big)}\bot x_{i\Big(\psi_\sigma^{m+1}\big(\varphi_\sigma^{m+1}(1)\big)\Big)}\bot\dots\bot x_{i\Big(\psi_\sigma^{m+1}\big(\varphi_\sigma^{m+1}(m)\big)\Big)}\bot x_{i\Big(\psi_\sigma^{m+1}\big(\varphi_\sigma^{m+1}(m+1)\big)\Big)}=\\
x_{i\Big(\psi_\sigma^{m+1}\big(\varphi_\sigma^{m+1}(0)\big)\Big)}\bot\biggl(x_{i\Big(\psi_\sigma^{m+1}\big(\varphi_\sigma^{m+1}(1)\big)\Big)}\bot\dots\bot x_{i\Big(\psi_\sigma^{m+1}\big(\varphi_\sigma^{m+1}(m)\big)\Big)}\bot x_{i\Big(\psi_\sigma^{m+1}\big(\varphi_\sigma^{m+1}(m+1)\big)\Big)}\biggl)=\\
x_{i\big(\varphi_\sigma^{m+1}(0)\big)}\bot\biggl(x_{i\big(\varphi_\sigma^{m+1}(1)\big)}\bot\dots\bot x_{i\big(\varphi_\sigma^{m+1}(m)\big)}\bot x_{i\big(\varphi_\sigma^{m+1}(m+1)\big)}\biggl)=\\
\biggl(x_{i\big(\varphi_\sigma^{m+1}(0)\big)}\bot x_{i\big(\varphi_\sigma^{m+1}(1)\big)}\bot\dots\bot x_{i\big(\varphi_\sigma^{m+1}(m)\big)}\biggl)\bot x_{i\big(\varphi_\sigma^{m+1}(m+1)\big)}=\\
(x_{i(0)}\bot x_{i(1)}\bot\dots\bot x_{i(m)})\bot x_{i(m+1)}=\\
x_{i(0)}\bot\dots\bot x_{i(m)}\bot x_{i(m+1)}
\end{align*}
\end{document}
but unfortunately the out put is just this
which is really different. So, how to obtain a text as into the first image? I point out I proved to use \flalign
command but it does not work.