What I understood from you question is that you are looking for a jquery code that makes the rows from the two tables to move from one table to the other whenever the user clicks on a row in any of the tables.
for example if you click on a row in first table, it moves to the second table and if you click on a row in second table, it moves to the first table.
if it is so, then the jquery code could be:
// identify the two tables with IDs for easier access
var tbl1=$('#table_1_id'), tbl2=$('#table_2_id');
// use tbody selector to make sure that you don't bind this event to table heading rows
$('#table_1_id,#table_2_id').find('tbody tr').on('click', moveRow);
function moveRow() {
// find on which table this row is
var row = $(this);
var table_current = row.closest('table');
// If current table ID equals to first table ID then it means we are in first table
if (table_current.prop('id')==tbl1.prop('id')) {
// Then we move the row to second table
tbl2.find('tbody').append(row);
} else {
// The row was in second table so we move it to first table
tbl1.find('tbody').append(row);
}
return;
}