i bought a new console,but still have 5 months left on my live membership,how do i change it to the new console
You can recoer your gamertag onto the new console and then use it.
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Live membership is not tied to any specific console. You either move your gamertag to a USB MU and then plug it into the new console, or you do a gamertag recovery on the new console and download your profile from Live.
If you want to move your DLC console licenses to your new console, visit the
License Transfer page.
Also here is the link that shows you how to do an account recovery.