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Does anyone know how i can describe the point "x" that's in the picture?

my best attempt so far is to say

The point X is on the extended line segment of DE and lies outside $\triangle ABC$ and is on side AC

Is saying "on side AC" too vague or even correct?

enter image description here

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    Can you just say x is an exterior point of triangle ABC that lies on the unique line determined by D and E?2012-11-08

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I would phrase it this way.

The point $X$ is on the line through $DE$, such that the line through $AC$ separates the interior of $\triangle ABC$ and $X$.

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    @jak Yes. Otherwise $X$ could be on the wrong side. An alternative is " ....such that the line through AC separates $B$ and $X$."2012-11-07
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IMO saying 'X' lies on ED extended should make clear what you would like to convey.

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    Had it been that ways I would take care to mention DE extended instead.2012-11-07