∣5−b∣=

12

To find the value of b, we need to consider two cases:

Case 1: 5 - b = 12
Solving for b, we subtract 5 from both sides:
-b = 7
Dividing both sides by -1, we find:
b = -7

Case 2: 5 - b = -12
Solving for b, we subtract 5 from both sides:
-b = -17
Dividing both sides by -1, we find:
b = 17

Therefore, the two possible values of b are -7 and 17.