What's the difference of meaning between those sentences?
I sent her a text asking her if she wants to go to see a movie together this weekend.

I sent her a text asking her if she wanted to go to see a movie together this weekend.

What's the difference of meaning between those sentences?

Question

What's the difference of meaning between those sentences?
I sent her a text asking her if she wants to go to see a movie together this weekend.

I sent her a text asking her if she wanted to go to see a movie together this weekend.

What's the difference of meaning between those sentences?

Answer

Both are perfect, but.. 
if you use 'wants', it seems that the situation is still ongoing - she hasn't replied yet, maybe..
if you use 'wanted', I expect you to tell me the result:   '... but she said she's busy today.'
:)

Answer

"Wants" is present tense and "Wanted" is past tense. As "sent" is already in past tense I believe only the second sentence is gramatically correct.

لا تفوّت فرصة تعلّم لغة جديدة وأنت مرتاح في منزلك. تصفّح مجموعتنا المختارة من مدرّسي اللغات ذوي الخبرة وسجّل في درسك الأول الآن!