You can crop your image with graphicx.
\documentclass{article}
\usepackage{graphicx}
\begin{document}
% Answer: [trim={left bottom right top},clip]
% Ex. 1: trim from left edge
\includegraphics[trim={5cm 0 0 0},clip]{example-image-a}
% Ex. 2: trim from right edge
\includegraphics[trim={0 0 5cm 0},clip]{example-image-a}
\end{document}
Use the trim option, which takes four space separated values.
trim={<left> <lower> <right> <upper>}
If you don’t give a unit, the package assumes bp i.e. big points to be the unit. After setting these values you must activate the cropping with clip=true or just clip.
If you combine trim with height or something similar the image will be cropped and then resized. That means that the crop values must fit the original size. If found no solution to say crop to 50 % width.
Update
As Martin said in the comments you can use adjustbox to clip the image exactly by 50 %. Note that you must replace \includegraphics by \adjincludegraphics, to access the \width.
\documentclass{article}
\usepackage[export]{adjustbox}
\begin{document}
\adjincludegraphics[height=5cm,trim={0 0 {.5\width} 0},clip]{example-image-a}
\end{document}
adjustbox also provides \height, \depth and \totalheight.
adjustbox. – Marco Daniel May 26 '12 at 12:35graphicxcan crop images by itself, and the OP doesn't want any non-core package anyway. – Martin Scharrer May 26 '12 at 12:50graphicsx, just agraphicspackage. Isgraphicsxpart of 2010? – naught101 May 26 '12 at 13:00\includegraphics{}, but it's probably clear enough :) – naught101 May 26 '12 at 13:01graphicxnotgraphicsxand its a very old package and part of the required set of packages for LaTeX. – Martin Scharrer May 26 '12 at 13:08