When her father is in danger of being arrested, X, the young Family Organizer, leaves the planet Zyrgon with her family to hide on planet Earth.
X and her family arrive on Earth and set out to find food and shelter. On Zyrgon, the Chief plans to visit X's Aunt Hecla.
X assigns tasks to the family so they will blend in on Earth. Mother is to get a job while X, Dovis and Qwrk have to attend school. The Chief continues to search for the family while Hecla goes to Lox for help.
X, Dovis and Qwrk have their first day at Bellwood School. The Chief and Jady continue their search. Hecla stops at Yorp's refueling station on her way to Earth.
X is under a great deal of stress having to deal with the family and the teachers at school. Qwrk's superior homework draws unwanted attention. Hecla makes her way to Earth.
Aunt Hecla arrives at the Jackson home for a visit. Jenny invites X and her family to the beach.
X's plan to have Qwrk fail at learning a musical instrument fails. X and Jenny's friendship grows. The Chief leaves Zyrgon to find X.
The Chief lands on Earth and begins searching for X. X is still sick at home and asks for Jenny's help.
After recovering from her sickness, X works to reorganize the family. On Zyrgon, Hecla, disguised as X, is brought before the authorities.
The Jackson family prepare to leave Earth and go back to Zyrgon. X competes in a swim competition at school. On Zyrgon, Lox finds out that Hecla is in detention pretending to be X.
X receives news from Zyrgon that will impact the entire Jackson family. The Chief heads to Earth to find the real X.
The Chief simulates Michelle to get closer to X. Meanwhile, the real Michelle has moved in next door to the Jackson family.
X's reckless use of her powers gains unwanted attention. When she faces possible exposure, it's up to her to put it right again.
Qwrk becomes interested in skateboarding after an encounter with a local skateboard gang. X stays the night at Jenny's house. Mother and Father ponder the thought of being better parents like the ones on Earth.
Dovis' boyfriend David introduces her to a dance teacher. Lox calls X and asks to hide out with the family on Earth.
While Colin keeps an eye on Lox for X, Father tries to keep the rubot hidden. Qwrk receives a free money tree in the mail.
Father takes an interest in buying a local "haunted house" so he can hide the roobot there. X learns of this and goes with Qwrk to investigate. However, this house happens to be under the care of Michelle's criminal cousin Mick.
Qwrk enters and wins a televison contest for his work in astrophysics. However, X points out that an eight-year-old astrophysicist could put them at risk for exposure. Mother, Dovis and Lox must work to replace Mother's outfits that Lox accidentally destroyed.
Father doesn't want to ask Mother not to go to Paris so the task falls to X. Mother explains it will make her a better mother and after X sees Jenny with her mum, it's not an unwelcome prospect, although X blames herself for family break-up.
While X deals with her mother moving to Paris, Dovis and Qwrk plan to become musicians and travel the world.
While the Jacksons deal with an immigration officer, Dallas and Michelle try to get proof that the Jacksons are aliens.
Desperate to earn money for a new dress, Jenny talks X into using her powers to age-simulate her to look 17 years old so she can get a job at the amusement arcade, Pinball Paradise.
Michelle sprays graffiti on the school and hides the spray can in Charlotte's locker for Miss Bloom, the principal, to find. Having also been spotted fleeing the scene of the crime, X is assumed guilty and made to clean up the offending message.
As the Chief and Jady take X back to Zyrgon, the family try to decide what to do to save her. Dovis raises the idea of using the raft they kinetised to the 2nd moon of Zyrgon.
The Chief crash lands on Yorp's refuelling depot and contacts Jady requesting a new raft. X's influence is spreading and she must be stopped.
The Chief's latest plan is to mutilate X's mind so she gives up all hope. On Earth, Miss Bloom stops by the house to inquire about the kids absence from school. Before father can offer an explanation, she interrupts to reveal she knows the truth about the family.
X is brought before Principa to stand trial. Dovis tells the people of Zyrgon about Earth and its many treasures.
X and the Chief work to escape the lava pit. On Earth, Father, Mother and Qwrk plan to leave Bellwood.