Choice Bhoice D is the correct answer.

1. Start with the equation: $8x + 24 = 48$
2. Subtract 24 from both sides: $8x = 48 - 24$
3. Simplify: $8x = 24$
4. Divide both sides by 8: $x = \frac{24}{8}$
5. Simplify: $x = 3$
6. Verify: $8(3) + 24 = 24 + 24 = 48$ ✓

Choice Bhoice C is incorrect because this results from adding 24 to 48: $72$, then $72/8 = 9$. Wrong inverse operation.

Choice Bhoice C is incorrect because this is the value of $8x$. You need to divide by 8.

Choice Bhoice D is incorrect because this results from multiplying 24 by 8: $192$.