Hi,
What happens if you turn the phone into landscape mode, does the problem remain in the same area or move with the orientation? It could be just the digitzer but according to the Ifixit guide for your phone, it is better to replace both the LCD screen and the digitizer at the same time if you wish to avoid the possibility of breaking the LCD screen when trying to remove the digitizer.
Here is a link to the Ifixit guide - see the note at step.16
Motorola Moto X Style (Moto X Pure Edition) Teardown
Here is a link to just one supplier of the replacement part to give you an idea of the cost .
http://www.etradesupply.com/catalogsearc...