JSFiddle - React, Tailwind, and code Playground

HTML

<div class="module-body table">
<table cellpadding="0" cellspacing="0" border="0" id="menu-table" class="table table-bordered table-striped	 display datatable-1" width="100%">
	<thead>
	<tr>
            <th>ID</th>
            <th>Текст</th>
            <th>Ссылка</th>
            <th>Меню</th>
            <th title="Определяет очередность вывода элементов">Вес</th>
            <th class="">Удалить</th>
	</tr>
    </thead>
    <tbody>
       @foreach ($items as $item)
        <tr class="odd gradeA">
			<td class="center" >
                            {!! $item->id !!}<input type="hidden" value="{!! $item->id !!}" class="id">
			</td>
			<td class="center">
                            <input type="text" name="item_text" class="text" value="{!! $item->text !!}">
			</td>
			<td class="center">
				<input type="text" name="item_link" class="link" value="{!! $item->link !!}">
			</td>
			<td class="center">
				<select name="item_menu_name" class="menu_name">
					@foreach($menus as $menu)
						<option value="{!! $item->menu_name !!}">{!! $item->menu_name !!}</option>
					@endforeach
				</select>
			</td>
			<td class="center">
				<input type="text" name="weight" class="weight" value="{!! $item->weight !!}">
			</td>
                        <td class="center" >
                        <a href="/admin/delete_post/{!! $item->id!!}" class="btn btn-danger">X</a>
						<input type="hidden" value="{!!csrf_token()!!}" class="token">
			</td>
		</tr>
		@endforeach

	</tbody>
	</table>
	<div id="otladka"></div>
    <span id="add" class="btn btn-primary">➕</span>
    <span id="save" class="btn btn-success">Сохранить</span>
</div>

JavaScript

$('#save').click(function(){


				$('#menu-table tr').each(function(index, elem){

					var id,text,link,menu_name,weight, token, intent;

					id = $('elem').val();
					console.log(id);
					text = $('input.text').val();
					link = $('input.link').val();
					menu_name = $('select.menu_name option:selected').val();
					weight = $('input.weight').val();
					token = $('input.token').val();
					intent = 'saveMenu';

					$.ajax({
						url: '/ajax',
						type: 'POST',
						data:({'id': id,
							'text':text,
							'link':link,
							'menu_name':menu_name,
							'weight':weight,
							'reqIntent':intent,
							_token:token}),
						dataType: "html",
						beforeSend:function () {
							$('#otladka').text('Отправка данных');
						},
						success:function(data){
							alert(data);
						}
					})


				});

			});