I can't get my computer photos off of my iphone. I click remove photos previously synced, but once I sync the photos are still on my iphone.

I was quick to hit sync when I was messing with my itunes for the first time, because I had assumed it would put photos taken on my phone onto my computer. Once I took my phone off of the wire I had went to take a photo and was told my storage was full. Come to find out my phone is now completely full with my computer photos. I attempted to unsync my photos, but when I click removed previously synced photos... They are still in my gallery.. When click sync, still in my gallery. When I restart my iphone, still there! I'm not sure I can live without being able to take photos 😟 This is not good. I need them to go away.