2D Parallax platformer

Sorry, i'll try my best to explain. I'm brazillian, it's kinda hard to me xD

this is my problem:

https://drive.google.com/file/d/0B1eqlJRc0HcFZlRKTDUycVpNOXM/view?usp=sharing

It's a gif, ok?

Here's part of my script:

    walkDir = Input.GetAxis("Horizontal"); //get the direction of movement
     
                     if(walkDir > 0){ //if moving right...
                     MatMountain.mainTextureOffset.x += 0.05*Time.deltaTime; //the "offset thing ^.^
                     transform.Translate(walkDir * 4 * Time.deltaTime,0,0); //movement, i was using the rigid body, but changed to this.
                     anim.SetBool("andando", true); //my animations
                     }
                     if(walkDir < 0){
                     MatMountain.mainTextureOffset.x -= 0.05*Time.deltaTime;
                     transform.Translate(walkDir * 4 * Time.deltaTime,0,0);
                     anim.SetBool("andando", true);
                     }

ohh, and everything is in the FixedUpdate()

I lost like 3 hours yesterday, and couldn't figure this out...

Solving the offset would also solve my animation problem!

Thank you for answering me :D

see you.