Elijah Minnie hit a 3-pointer from the right corner with 1:17 left to make it 53-47 and finished an alley-oop off Jackson's assist to extend the lead to eight with 48 seconds to go.
The Eagles (12-9, 3-5 Mid-American Conference) trailed 30-29 at halftime and took control early in the second with 13 straight points to lead 42-32.
The RedHawks (11-10, 4-4) closed within 45-43 after Nike Sibande and Dalonte Brown hit back-to-back 3s to cap an 11-3 run and trailed 50-47 with 1:39 left before Minnie's late baskets helped Eastern Michigan pull away.
Minnie added 12 points for the Eagles.
Brown had 17 points and Sibande scored 10 for the RedHawks.
In anticipation to the upcoming basketball season, SEC Now takes a look at a few intriguing storylines around the conference.
According to transcripts of calls read in court on Tuesday, LSU coach Will Wade and Kansas assistant Kurtis Townsend were prepared to offer improper benefits to high-profile recruits and their families.
While Kentucky Wildcats coach John Calipari has said players should be able to skip college for the NBA, he told ESPN those going to the G League should be guaranteed eight semesters of college if they don't make it to the NBA.