My Rig Changes Position in Edit/Object Mode? I have a rig, and when I select the Armature or the Model, and go to edit mode, they move position. They just go to the left, and they come back in object mode.
In Pose mode make sure you are in "Pose position" .

In rest position it will go to the objects original position and origin point 

Also , Edit mode doesn't effect the animation / Pose , so when you go into edit mode , the armature will also go to the objects original position and origin point . Edit mode is only for moving vertices/faces/edges and bone origin placement