The net force acting on the object will cause the object to accelerate in the direction of the net force. The acceleration of the object will be directly proportional to the net force and inversely proportional to the mass of the object.
In summary, when two unequal forces act in opposite directions on a moving object, the object will accelerate in the direction of the greater force. The acceleration of the object will be determined by the net force and the mass of the object.