A Chiropractor is a type of doctor that does adjustments to your body and do spinal manipulation to move your bones into proper alignment which helps to fix back pain and other pain that you're suffering from.
A massage therapist can help with pain but doesn't work with your bones or spine nor do they move any bones or align your bones.
Massage Therapists work your muscles and any soft tissue to help relieve the pain.
The Chiropractor on the other hand will adjust the spine, neck, and other musculoskeletal systems using a hands-on approach.