To solve this equation, we need to follow the order of operations (PEMDAS).

First, we simplify what is inside the parentheses:
100 - 3x = 100 - 3x

Next, we multiply this value by 4:
(100 - 3x) × 4= 400 - 12x

Now, we subtract this value from 112:
112 - (400 - 12x) = 112 - 400 + 12x = -288 + 12x

Finally, we divide this value by 23:
(-288 + 12x) ÷ 23 = 208 ÷ 2

Simplifying the equation:
-288 + 12x = 208
12x = 208 + 288
12x = 496
x = 496 / 12
x = 41

So, the solution to the equation is x = 41.