Max shot three times as many baskets as Weber, while Austin shot 12 more baskets than Weber. If Max and Austin shot the same number of baskets, how many baskets did each of them shoot?

Max's shots are represented by m, Austin's by a, and Weber's by w.

m = 3w and a = w+12

Max and Austin's number of shots is equal so set their expression equal to one another.

3w = w+12
2w = 12
w = 6

After plugging the w value back into the initial equations you get:
Austin and Max have 18 and Weber has 6.