48÷2(9+3)
See, here's the problem. In order to evaluate the 2(9+3) first, you'd need to have brackets around that part, like this:
48÷[2(9+3)]
Were this the case, the problem would reduce to
48÷[2(12)]
=48÷[24]
=2
But you don't. Without the [brackets] around 2(9+3), order of operations requires 48 to be divided by two (into 24), and that this result is then multiplied by 12. Hence the 288.
See, here's the problem. In order to evaluate the 2(9+3) first, you'd need to have brackets around that part, like this:
48÷[2(9+3)]
Were this the case, the problem would reduce to
48÷[2(12)]
=48÷[24]
=2
But you don't. Without the [brackets] around 2(9+3), order of operations requires 48 to be divided by two (into 24), and that this result is then multiplied by 12. Hence the 288.