Here, the problem is:
2 + {8 - 2 [32 + 5 (1 + 2)]}
The first thing you want to do is evaluate 1 + 2, which is 3. The problem then becomes:
2 + {8 - 2 [32 + 5 (3)]}
Multiply 5 • 3 to get 15, and then add 32 to get 47. The problem then becomes:
2 + {8 - 2 [47]}
Multiply 47 by 2 to get 94, and then do 8 - 94, which equals -86. The problem then becomes:
2 + {-86}
Add 2 + -86 (essentially 2 - 86) to get your final answer: -84.