Well, in it's simplest form, it might look something like this:
$date = '2008-06-07';
$day_in_seconds = 86400;
$new_date = (strtotime($date) + ($day_in_seconds * 10));
echo date("Y-m-d", $new_date);
which produces the following output:
2008-06-17
The reason for the $day_in_seconds variable is because strtotime() returns the number of seconds since the epoch (the number of seconds since January 1 1970 00:00:00 GMT).
Hope that helps.