Trigger modal if form valid using jquery

I have a problem wherein when a form is submitted, it should trigger a modal when it is valid and if it is not valid, it should trigger the validation script. I have tried looking for answers in the forum and came across one problem that resembles mine. But unfortunately, the modal still doesn't pop-up.

What I wanted to happen was when a user clicks the submit button, a validation will run and if all data is valid, it will trigger the modal to pop-up and if invalid, the validation will occur just like here.

MODEL

public class Reg
{
    [Required(ErrorMessage = "Please enter first name")]
    public string Firstname { get; set; }

    [Required(ErrorMessage = "Please enter MiddleInitial")]
    public string MiddleInitial { get; set; }

    [Required(ErrorMessage = "Please enter Surname")]
    public string Surname { get; set; }
}

CONTROLLER

    public ActionResult Index()
    {
        return View();
    }

    [HttpPost]
    public ActionResult Index(Reg reg)
    {
        return View();
    }

VIEW

@model WebApplication1.Models.Reg
<div class="col-lg-offset-4 col-lg-12">
    @using (Html.BeginForm())
    {
        @Html.AntiForgeryToken()

        <div class="form-horizontal">

            <div class="form-group">
                @Html.LabelFor(model => model.Firstname, htmlAttributes: new { @class = "control-label" })
                @Html.EditorFor(model => model.Firstname, new { htmlAttributes = new { @class = "form-control", placeholder = @Html.DisplayNameFor(m => m.Firstname) } })
                @Html.ValidationMessageFor(model => model.Firstname, "", new { @class = "text-danger" })
            </div>

            <div class="form-group">
                @Html.LabelFor(model => model.MiddleInitial, htmlAttributes: new { @class = "control-label" })
                @Html.EditorFor(model => model.MiddleInitial, new { htmlAttributes = new { @class = "form-control", placeholder = @Html.DisplayNameFor(m => m.MiddleInitial) } })
                @Html.ValidationMessageFor(model => model.MiddleInitial, "", new { @class = "text-danger" })
            </div>

            <div class="form-group">
                @Html.LabelFor(model => model.Surname, htmlAttributes: new { @class = "control-label" })
                @Html.EditorFor(model => model.Surname, new { htmlAttributes = new { @class = "form-control", placeholder = @Html.DisplayNameFor(m => m.Surname) } })
                @Html.ValidationMessageFor(model => model.Surname, "", new { @class = "text-danger" })
            </div>

            <div class="form-group">
                <input type="submit" value="Create" class="btn btn-default" />
            </div>
        </div>
    }
</div>

<div id="modals" class="modal fade">
    <div class="modal-dialog">
        <div class="modal-content">
            <div class="modal-header">
                Confirm Submit
                <button type="button" data-dismiss="modal" aria-hidden="true" class="close">×</button>
            </div>

            <div class="modal-body">
                @Html.Partial("CedulaPartial")
                <button type="button" class="btn btn-default" data-dismiss="modal">Cancel</button>
                <input type="submit" value="Submit" class="btn btn-success" />
            </div>
        </div>
    </div>
</div>

JQUERY

<script type="text/javascript">
$('form').submit(function () {
    if ($(this).valid()) {
        $('#modals').modal('show');
    }
});

I also have tried

$('#myModal').modal("show");
$('#myModal').dialog('open');
$('#myModal').modal();
$('#myModal').show();
$('#myModal').modal('toggle');

but still no luck.

Thanks in advance.

UPDATE

After modifying the script, what happens is that the form cannot be clicked. I think the modal is being triggered but no modal is showing. Here is the output:

https://media.giphy.com/media/61Z50T2JEpN1Zrk8hZ/giphy.gif

Until I came across this, I tried removing the fade command in class and now the modal is showing. I am currently using Bootstrap v3.0.0 and the fade command has a bug in here. Thanks for your support guys!