Getting camera to stick to object

hi all, I'm building a game which requires the camera to stick to my main object in the X axis. It's a bike based game, so the object will be riding off jumps, etc, but I don't want the camera to move up as the object does, only move along the X axis. Using C#, my code is as follows:

public Vector3 cameraFollowOffset = new Vector3(0,5,-5);

public Camera followCamera;

 void Start(){
     if (followCamera == null)
         followCamera = Camera.mainCamera;
 }
 
 void Update(){
     followCamera.transform.position = transform.position + cameraFollowOffset;
 }
 

}

Many thanks