A) |8-x| - 3 + 2 = 15
First, simplify inside the absolute value brackets:
|8-x| = 16

Then, solve for x:
8-x = 16 or 8-x = -16
-x = 8 or -x = -24
x = -8 or x = 24

So the solutions are x = -8 and x = 24.

B) |x| + 5 - 4 = 9
First, simplify the equation:
|x| + 1 = 9

Then, solve for x:
|x| = 8

Since the absolute value of x is 8, the solutions are x = 8 and x = -8.