Why did my Iphone 4s only sync half the songs?

I had an itunes in which I had a bunch of songs in it. However when I got my Iphone I couldn't sync any of the songs. Finally I plugged it into Itunes, pressed sync download some songs but at least half or less than half were only synced. Why>

If no error messages showed up, then it's probably because your phone is out of space.

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