Character direction can't be changed before the character reaches a screen limit in some cases

Hello everyone!

So I have this player that goes from left to right when I hit the "right" button, and it goes from right to left when I hit the "left" button. When I hit the "left" button, I can press the "right" one right away and the player will change directions on the spot. On the other hand, if I press the "right" button, I can't change the player's direction before the player gets to the right limit.

Here is an image showing the situation:

Here is my script which is attached to the player:

 private bool leftbutton;
 private bool rightbutton;

 private float x;
 public float speed;
 public float y;

 private Vector3 vectorDir;

 //function when "left" button is clicked
 public void Left()
 {
     if (transform.position.x > -2.0f)
     {
         leftbutton = true;
     }
 }

 //function when "right" button is clicked
 public void Right()
 {
     if (transform.position.x < 2.0f)
     {
         rightbutton = true;
     }
 }

 void Update()
 {

     vectorDir = new Vector3(x, y);
     transform.Translate(vectorDir * speed * Time.deltaTime);

     if (leftbutton == true)
     {
         x = -1.0f;
         if (transform.position.x <= -2.0f || rightbutton == true)
         {
             leftbutton = false;
         }
     }

     if (rightbutton == true)
     {
         x = 1.0f;
         if (transform.position.x >= 2.0f || leftbutton == true)
         {
             rightbutton = false;
         }
     }

     if (rightbutton == false && leftbutton == false)
     {
         x = 0.0f;
     }

 }

Any help is greatly appreciated!

[2]: /storage/temp/111908-situation2.png