For which equation is the order of steps to first divide both sides by 6 and then to add 8 to both sides?

D. 6(x − 8) = 48

To determine the equation for which the order of steps is to first divide both sides by 6 and then add 8 to both sides, we need to follow these steps:

1. Divide both sides by 6.
2. Add 8 to both sides.

Let's go through the options to find the equation that matches these steps.

Option A: 8(x - 6) = 48
To follow the order of steps, we would first divide both sides by 8, not 6. Therefore, option A is not the correct equation.

Option B: 6x - 8 = 48
This equation starts with subtracting 8 from both sides, which is not the first step we are looking for. Therefore, option B is not the correct equation.

Option C: 6(x + 8) = 48
This equation starts by multiplying both sides by 6, which is not the first step we are looking for. Therefore, option C is not the correct equation.

Option D: 6(x - 8) = 48
This equation starts with multiplying both sides by 6, which is the first step we are looking for. Then, we can divide both sides by 6 and add 8 to both sides. Therefore, option D is the correct equation.

In conclusion, the equation for which we first divide both sides by 6 and then add 8 to both sides is option D: 6(x - 8) = 48.

The order of steps to first divide both sides by 6 and then add 8 to both sides is used for equation B.

Therefore, the correct answer is B. 6x - 8 = 48.