JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="https://cdn.datatables.net/t/bs-3.3.6/jqc-1.12.0,dt-1.10.11/datatables.css">
<script src="https://cdn.datatables.net/t/bs-3.3.6/jqc-1.12.0,dt-1.10.11/datatables.js"></script>
<body>
  <div class="container">
    <div class="row">
      <table id="main" class="table table-striped table-bordered table-condensed nowrap" width="100%">
        <thead>
          <tr>
            <th>Name</th>
            <th>Position</th>
            <th>Office</th>
            <th>Age</th>
            <th>Start date</th>
            <th>Salary</th>
            <th>R</th>
          </tr>
        </thead>

        <tfoot>
          <tr>
            <th>Name</th>
            <th>Position</th>
            <th>Office</th>
            <th>Age</th>
            <th>Start date</th>
            <th>Salary</th>
            <th>R</th>
          </tr>
        </tfoot>

        <tbody>
          <tr>
            <td>Tiger Nixon</td>
            <td>System Architect</td>
            <td>Edinburgh</td>
            <td>61</td>
            <td>2011/04/25</td>
            <td>$3,120</td>
            <td></td>
          </tr>
          <tr>
            <td>Garrett Winters</td>
            <td>Director</td>
            <td>Edinburgh</td>
            <td>63</td>
            <td>2011/07/25</td>
            <td>$5,300</td>
            <td></td>
          </tr>
          <tr>
            <td>Ashton Cox</td>
            <td>Technical Author</td>
            <td>San Francisco</td>
            <td>66</td>
            <td>2009/01/12</td>
            <td>$4,800</td>
            <td></td>
          </tr>
          <tr>
            <td>Cedric Kelly</td>
            <td>Javascript Developer</td>
            <td>Edinburgh</td>
            <td>22</td>
            <td>2012/03/29</td>
            <td>$3,600</td>
            <td></td>
          </tr>
          <tr>
            <td>Jenna Elliott</td>
            <td>Financial Controller</td>
            <td>Edinburgh</td>
           ...

JavaScript

this.$main = $('#main').DataTable({
  "orderClasses": true,
  "order": [
    [1, 'asc']
  ],
  "columnDefs": [{
    "targets": -1,
    "render": function(data, type, full, meta) {
      return '<button button type="button" class="btn btn-primary btn-sm">Remove</button>';
    },
  }]
});
this.$edit = $('#edit').DataTable({
  "order": [
    [1, 'asc']
  ],
  "columnDefs": [{
    "targets": -1,
    "render": function(data, type, full, meta) {
      return '<button button type="button" class="btn btn-primary btn-sm">Remove</button>';
    },
  }]
});


this.mainButton = function(e) {
  var $tr = $(e.currentTarget).closest('tr'),
    row = this.$main.row($tr),
    rowData = row.data();
  row.remove().draw(false);
  this.$edit.row.add(rowData);
  this.$edit.draw(false);
};

this.editButton = function(e) {
  var $tr = $(e.currentTarget).closest('tr'),
    row = this.$edit.row($tr),
    rowData = row.data();
  row.remove().draw(false);
  this.$main.row.add(rowData);
  this.$main.draw(false);
};
this.$main.on('click', 'button', this.mainButton.bind(this));
this.$edit.on('click', 'button', this.editButton.bind(this));