If you want to delete text messages on your iPhone 5s, there are a few different ways to go about it. The first way is to go to the Messages app and select the message you want to delete. Then, press and hold on the message until it starts shaking. After a few seconds, a “Delete” button will appear at the bottom of the screen. Tap on this button and the message will be deleted. Another way to delete text messages is to go to Settings > Messages > Delete All Messages. This will delete all of your text messages from both your iPhone 5s and any other devices that you have synced them with (such as an iPad or iPod). whichever method you choose, be sure to back up your iPhone 5s before deleting any messages! ..