camera follow with distance

hello everyone, i got a 2d infinite runner and using this script for follow to player: using UnityEngine; using System.Collections;

public class CameraRunnerScript : MonoBehaviour {

 public GameObject cameraTarget;
 public GameObject player;
 
 public float xMargin = 1f;
 public float yMargin = 1f;
 public float smoothTime = 0.1f;
 
 Vector2 velocity;
 
 private Transform thisTransform;
 
 void Start()
 {
     thisTransform = transform;
     player = GameObject.FindGameObjectWithTag("Player");
 }
 
 void Update()
 {
     if (CheckXMargin())
     {
         thisTransform.position = new Vector3(Mathf.SmoothDamp(thisTransform.position.x, cameraTarget.transform.position.x, ref velocity.x, smoothTime), thisTransform.position.y, thisTransform.position.z);
     }
     
     if (CheckYMargin())
     {
         thisTransform.position = new Vector3(thisTransform.position.x, Mathf.SmoothDamp(thisTransform.position.y, cameraTarget.transform.position.y, ref velocity.y, smoothTime), thisTransform.position.z);
     }
 }
 
 bool CheckXMargin()
 {
     return Mathf.Abs(thisTransform.position.x - player.transform.position.x) > xMargin;
 }
 
 
 bool CheckYMargin()
 {
     return Mathf.Abs(transform.position.y - player.transform.position.y) > yMargin;
 }

}

this is a very good solution for following with margin, but now player is center on screen. and its creating a less visible area for player. so how can i change this script for camera following to player with some x asis distance and player position always close to left side.