Can i unlock the Samsung Galaxy Axiom to T-Mobile?

no, the Samsung galaxy axiom is a CDMA only phone, T-Mobile requires a GSM phone
yes, the Galaxy S3 Mini is a GSM phone, and will work, but will likely be limited to Edge (2g) speeds.

Guilmar said:

Can I unlock the Samsung galaxy axiom to mobile and if I can't than can I unlock the Samsung galaxy 3 mini?

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You cannot unlock your samsung galaxy axiom because your samsung galaxy axiom is a cdma network. But you can easily unlock your samsung galaxy 3 mini. Because it is a gsm phone.
If you need to unlock your samsung galaxy s3 mini first can visit this site Prounlocking.com here you can get the code and unlock your samsung galaxy 3 mini easily.