Флажок установлен

var tools = [];
        $.each({
            "tools1": "tools1",
            "tools2": "tools2",
            "tools3": "tools3",
            "tools4": "tools4"
        }, function(k, v) { tools.push({value: k, text: v});
        });

$('#table').editable({
        container: 'body',
        selector: 'td.Tools',
        title: 'new Tools',
        source: tools,
        showbuttons: false,
        success: function(response) {
          
        $('.form-check-input').closest('tr').find('input[name=choose]').attr('disabled', false);

        }
    });

<script src = "https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<link href = "https://cdnjs.cloudflare.com/ajax/libs/x-editable/1.5.0/bootstrap3-editable/css/bootstrap-editable.css" rel = "stylesheet"/>
<script src = "https://cdnjs.cloudflare.com/ajax/libs/x-editable/1.5.0/bootstrap3-editable/js/bootstrap-editable.min.js"></script>
<table id = "table" class = "table table-bordered" cellspacing = "0" width = "100%">
    <thead>
        <tr>
            <th>Id
            </th>
            <th>Tools
            </th>
            <th>
            </th>
        </tr>
    </thead>
    <tbody>
      <tr>
        <td data-name = "id" class = "id" data-type = "text"> 
          2
        </td>
        <td data-name = "Tools" class = "editable Tools" data-type = "select">
          Tools1
        </td>
        <td>
          <input type = "checkbox" name = "choose" id = "btn1" class = "form-check-input" data-toggle = "tooltip" disabled>Choose
        </td>
      </tr>
      <tr>
       <td data-name = "id" class = "id" data-type = "text"> 
          1
        </td>
        <td data-name = "Tools" class = "editable Tools" data-type = "select">
         Tools3
        </td>
        <td>
          <input type = "checkbox" name = "choose" id = "btn2" class = "form-check-input" data-toggle = "tooltip" disabled>Choose
        </td>
      </tr>
      <tr>
          <td data-name = "id" class = "id" data-type = "text"> 
          3
        </td>
        <td data-name = "Tools" class = "editable Tools" data-type = "select">
         Tools4
        </td>
        <td>
          <input type = "checkbox" name = "choose" id = "btn3" class = "form-check-input" data-toggle = "tooltip">Choose
        </td>
      </tr>
    </tbody>
</table>