How to transfer songs from iPhone to iTunes? - 2

I got a new computer and want to transfer my iPhone's songs to its iTunes but most of my songs are downloaded, not purchased, so the "Transfer Purchases" option on iTunes doesn't transfer all the songs.

Do you have the old computer with your downloaded media on? It would be a much simpler way. If not however there's a back up option on iTunes. These steps should help
1. Connect the iPhone to the computer with a USB cable.
2. Open iTunes.
3. Click on your iPhone under DEVICES in the left menu.
4. Make sure the Summary tab at the top of iTunes is selected.
5. Under the Backup section, check the "Back up to this computer" radio button.
6. Click the Sync button.

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