Can't get photos from old laptop off iPhone 5?

I have and old acer laptop and there are some photos from it that are on my iPhone 5 and it won't let me delete them from the phone and the laptop is too slow and keeps adding more pictures every time i try is there any way i can get them off using my mac or iPhone and if not how do i get them off from the old computer
oh and there's no delete button when i go into the pictures on my phone

(sorry for selling and grammer)

Delete them simply from your laptop in the folder, on your phone if you plug it into mac you can use the iphoto program to delete them but are you sure you haven't tried deleting them off your phone (go on the image on your phone and there's a bin symbol bottom left)

I plugged my phone to my old laptop and when into iTunes and then into photo and it had sync photos clicked and i unchecked it and now it is loading hopeful that will work and the bin isn't there on the phone