このコードでは、アニメーションを使用していますが、一度に画像のアルファ値も変更する必要があります。
-(void)animation
{
CGPoint point = CGPointMake(imgView.frame.origin.x, imgView.frame.origin.y);
imgView.layer.position = point;
CABasicAnimation *anim = [CABasicAnimation animationWithKeyPath:@"position.x"];
anim.fromValue = [NSValue valueWithCGPoint:point];
anim.toValue = [NSValue valueWithCGPoint:CGPointMake(point.x + 50, point.y)];
anim.duration = 10.0f;
anim.repeatCount =1;
anim.removedOnCompletion = YES;
anim.timingFunction = [CAMediaTimingFunction functionWithName:kCAMediaTimingFunctionEaseIn];
[imgView.layer addAnimation:anim forKey:@"position.x"];
imgView.layer.position = point;
}