How I do transfer photos from one phone to another?

how to transfer photos from old moto x phone to moto z player phone ?

There are several ways to do this. If both phones have the same Gmail address the easiest way to do this is with the Photos app on both phones. That will put the photos in the Google cloud where they can be synced to both phones. If you do it that way your photos will also be here:

Google Photos - All your photos organized and easy to find

Although Moto has retired their own migrate app, there are other ways to migrate data via different migrate apps made by third party developers.

Here are a few ones that should work with any phone (I’ve not used these before):

Copy My Data - Android Apps on Google Play

Phone Copier - MOBILedit - Android Apps on Google Play

CLONEit - Batch Copy All Data - Android Apps on Google Play

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