Aligning three plots of axes and text using tikz

Question

I have drawn three axes, or segments of axes, that I want to be aligned at the node (0,0). The first one is drawn, then the second underneath, then the third under that. Two have text above the axes where the text should begin at the node (0,0) but above it.

How can I get them aligned?

When I add the text the axes below shift to the right. How to prevent this so the axes don't move relative to the length or existence of the text?

I am not sure how to plot them all in one tikzpicture, so I have made three to be graphed sequentially.

\begin{tikzpicture}
\draw (0,0) -- (10,0) ; % axis

\foreach \x in {0,2,4,6, 8, 10} % vertical lines
\draw[shift={(\x,0)},color=black] (0pt,3pt) -- (0pt,-3pt);

\node at (0,0) [below=3] {0};
\node at (2,0) [below=3] {1};
\node at (4,0) [below=3] {2};
\node at (6,0) [below=3] {3};
\node at (8,0) [below=3] {4};
\node at (10,0) [below=3] {5};

\end{tikzpicture}

\begin{tikzpicture}
\draw (0,0) -- (8,0) ; % axis

\foreach \x in {0,2,4,6, 8} % vertical lines
\draw[shift={(\x,0)},color=black] (0pt,3pt) -- (0pt,-3pt);

\node at (0,0) [below=3] {0};
\node at (2,0) [below=3] {1};
\node at (4,0) [below=3] {2};
\node at (6,0) [below=3] {3};
\node at (8,0) [below=3] {4};

\node at (0,0) [above=3] {This is the first statement.};

\end{tikzpicture}

\begin{tikzpicture}
\draw (0,0) -- (2,0) ; % axis

\foreach \x in {0,2} % vertical lines
\draw[shift={(\x,0)},color=black] (0pt,3pt) -- (0pt,-3pt);

\node at (0,0) [below=3] {0};
\node at (2,0) [below=3] {1};

\node at (0,0) [above=3] {This is the second statement of a different length.};

\end{tikzpicture}

Answer 1

I hope I read the question right, if not please let me know. I'd use a pic for the repeating things, and would store the variables in pgf keys. The node alignment can be achieved by setting an appropriate anchor. Then you need only

 \path (0,0)pic{axis} 
  (0,-2) pic{axis={text={This is the first statement.}}}
  (0,-4) pic{axis={text={This is the second statement of a different length.}}};

to get

Full code.

\documentclass[tikz,border=3mm]{standalone}
\begin{document}
\begin{tikzpicture}[line cap=rect,pics/axis/.style={code={
    \tikzset{axis/.cd,#1}%
    \def\pv##1{\pgfkeysvalueof{/tikz/axis/##1}}%    
    \draw (0,0) node[yshift=3pt,anchor=south west]{\pv{text}} 
        -- (\pv{xscale}*\pv{xmax},0)
    foreach \x in {0,...,\pv{xmax}} 
    {(2*\x,3pt) -- ++(0,-3pt) node[below=3]{\x}} ;}},
    axis/.cd,xscale/.initial=2,xmax/.initial=5,text/.initial={}]
 \path (0,0)pic{axis} 
  (0,-2) pic{axis={text={This is the first statement.}}}
  (0,-4) pic{axis={text={This is the second statement of a different length.}}};
\end{tikzpicture}
\end{document}

Here is another example, in which the tick coordinates get names so that one can use them to add an arrow.

\documentclass[tikz,border=3mm]{standalone}
\begin{document}
\begin{tikzpicture}[line cap=rect,pics/axis/.style={code={
    \tikzset{axis/.cd,#1}%
    \def\pv##1{\pgfkeysvalueof{/tikz/axis/##1}}%    
    \draw (0,0) node[yshift=3pt,anchor=south west]{\pv{text}} 
        -- (\pv{xscale}*\pv{xmax},0)
    foreach \x in {0,...,\pv{xmax}} 
    {(2*\x,3pt) -- ++(0,-3pt) node[below=3](-tick-\x){$\x$}} ;}},
    axis/.cd,xscale/.initial=2,xmax/.initial=5,text/.initial={}]
 \path (0,0)pic(a1){axis} 
  (0,-2) pic(a2){axis={text={This is the first statement.},xmax=4}}
  (0,-4) pic(a3){axis={text={This is the second statement of a different
  length.},xmax=1}};
 \draw[-stealth] (a2-tick-1|-0,-2.7) -- (a2-tick-0|-0,-2.7);  
\end{tikzpicture}
\end{document}