After being elected two terms as Arkansas State Representative, Greenberg ran for Arkansas State Senate, losing narrowly to former State Representative Jeremy Hutchinson in the 2010 Republican primary, continuing the Greenberg-Hutchinson saga.
After being elected two terms as Arkansas State Representative, Greenberg ran for the District 21 seat in the Arkansas State Senate. He lost to Jeremy Hutchinson in the 2010 Republican primary, thus continuing the Greenberg-Hutchinson saga.