Graphic on screen lose quality until I move the screen a bit

Hi! The inverter and inverter cable only affect the backlight, so if the image itself becomes distorted, I would suspect that the video cable is being crimped. Before trying to repair it, an important test is to connect your machine to an external monitor. If the external display looks fine while the image on the screen looks distorted, then you know the logic board and GPU are not the source of the problem, and that the problem has to do with the screen or the cabling. If the external display is distorted as well, then you likely have a logic board or GPU issue.