Use a property with a backing field:
struct MyStruct
{
    private const int MIN_VALUE = 1200;
    private const int MAX_VALUE = 1599;
    private int x;
    public int X 
    {
        get { return x + MIN_VALUE; }
        set
        {
            if(value > MAX_VALUE)
                x = MAX_VALUE;
            else if(value < MIN_VALUE)
                x = MIN_VALUE;
            else
                x = value;
            x -= MIN_VALUE;
        }
    }
    // constructor is not really needed anymore, but can still be added
}
I combined the property with my setter and Damien_The_Unbeliever's getter to get the initial state of x right. I also agree with Tim about constants for the "magic numbers" and added that too. So please give this two also credit for "my answer".
Also as DatVM already said: Public fields/properties should start with a capital letter according to the common C# naming guidlines. This also enalbes you to use the same name for the backing field, but starting with a small letter (I personally do NOT like the ugly _)...
And last but not least: Please read rexcfnghk's answer, even if it is not really an answer, as he is also absolutely correct.