@Wow-Jr
First of all:
$$2x + 2y = xy
$$
All three values (2x, 2y, xy) have a factor. A factor for the values can be x (hint mentions x so we'll stick with x, y is also fine though).
Therefore:
$$2 + {2y\over x} = y
$$
$${2y\over x} = y - 2
$$
Because x and y are integers,
$${2y\over x}
$$
is an integer (y as an integer minus 2 as an integer leaves an integer result of 2y/x).
Therefore x is a factor of 2y, where:
$$x*{2y\over x}=2y
$$
Hope that helps.
