A basketball player scored 22 points in a game. The number of three-point field goals the player made was 26 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals the player made was 9 more than the number of three-point field goals made. Find the number of free-throws, two-point field goals, and three-point field goals that the player made in the game.