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i told her just that i see she doesn't want this(the relationship) as much i do and that she prefer to hangout with other guys over me.
never say this bro. you should never want the relationship more than her. instead say you're just not feeling it. be mysterious and vague. don't show too much emotion.
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I ask her to explain why she did it and why she sometimes acting like she doesn't like me.
again, bad form. sounds weak.
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I told her that i want to go back but i can't because i fell betrayed and angry. And i told her that i need some time alone and then decide if we can be together again.
again, you don't want to let her know she has power over you like that. instead frame it as though she disrespected you and you will not put it up with that shit.
i'd go back with her but make clear boundaries and if she crosses them leave her immediately. if she's not going to respect your boundaries you will be miserable. but honestly dude you're 20 go out and fuck a bunch of girls. no relationship lasts like that between young people. there's just too much change taking place in your life and there are too many distractions.