To left-align equations globally, use the fleqn option when loading amsmath. To left-align equations for only part of the document, you could load the nccmath package and use its fleqn environment. But then you'd still have the equations in actual equation environments, which creates vertical spacing problems.
It seems pretty simple to make your own inline equation tags, though, so try this:
\documentclass{minimal}
\newcommand{\teqtag}{\hfill\stepcounter{equation}(\theequation)}
\begin{document}
\begin{tabular}{p{2 in}@{\hspace{0.25 in}}p{2 in}}
$\alpha=\beta+\gamma$\teqtag & $c=20x^2+5x-10$\teqtag \\
$\alpha=\frac{10x}{\int y\,dx}+\gamma$\teqtag & $c=20x^2+5x-10$\teqtag\\
$x_f=x_0+v_0 t$\teqtag & $\mu=10*\epsilon$\teqtag
\end{tabular}
\end{document}
Or to number the equations column-first (and put the tag on the left while we're at it):
\documentclass{minimal}
\newcommand{\lteqtag}{\stepcounter{lequation}(\thelequation)\ }
\newcommand{\rteqtag}{\stepcounter{requation}(\therequation)\ }
\newenvironment{spliteqs}%
{\newcounter{lequation}%
\newcounter{requation}%
\setcounter{lequation}{\value{equation}}%
\setcounter{requation}{\value{equation}}%
\addtocounter{requation}{3}}% number of left-column equations
{\setcounter{equation}{\value{requation}}}
\begin{document}
\begin{spliteqs}
\begin{tabular}{p{2 in}@{\hspace{0.25 in}}p{2 in}}
\lteqtag$\alpha=\beta+\gamma$ & \rteqtag$c=20x^2+5x-10$ \\
\lteqtag$\alpha=\frac{10x}{\int y\,dx}+\gamma$\ & \rteqtag$c=20x^2+5x-10$\\
\lteqtag$x_f=x_0+v_0 t$ & \rteqtag$\mu=10*\epsilon$
\end{tabular}
\end{spliteqs}
\end{document}