If it’s moving every time it tries to carve, that’s an indication of losing steps. A forum post that addresses lost steps is [Guide] Offset cutting, Lost steps, Positioning errors, etc, and would be a good place to start.
I have also uploaded a few videos related to maintenance and troubleshooting, you can see what’s available at X-Carve Maintenance/Troubleshooting Videos - Add Your Own!. You may be most interested in the videos on belt tension and potentiometer adjustment, since those can cause lost steps.