'iDeletePhotos' Gives You More Flexibility With iTunes-synced Photos
Frustratingly, when you sync photos to your iOS device(s) with iTunes, Apple doesn't give you any way to delete those photos off of your iPhone without painstakingly plugging your device into your computer and using iTunes again to remove them from your iOS device. Also, you don't have a way to move those synced photos to your Camera Roll for easier control and organization.
With a new free jailbreak tweak called iDeletePhotos
by iOS developer iOSDevT, you can give yourself a little more power over the photos that you sync to your iOS device(s) with iTunes.
After you install the tweak, you will be able to delete photos from any of your iTunes-synced photo albums from the Photos application without having to tether your iOS device to a computer with iTunes installed on it. Instead, you can delete photos that you have synced just like if you were to delete a photo from the Camera Roll. In addition, the tweak gives you the power to move any of those synced photos to the Camera Roll.
For those plagued by this limitation that Apple put into their mobile operating system, iDeletePhotos offers a solid way to deal with the problem and make life easier. If you want to give the tweak a try, it's available in Cydia's BigBoss repository for free. There are no options to configure, and the tweak can be installed on iOS 6 and later.
iPhone 5 running iOS 7.0.4