ABC Fitness Center charges $30 per month for a membership, then after x months it will charge 30x dollars
Super Sport Fitness Club charges $22 per month plus an $80 initiation fee for a membership, then after x months it will charge 80 + 22x dollars.
If the total amount paid to the two fitness clubs is the same, then:
30x = 80 + 22x
30x - 22x = 80
8x = 80
x = 80/8
x = 10
After 10 months the total amount paid to the two fitness clubs is the same