For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?

The equation for which the order of steps is to first divide both sides by 2 and then subtract 10 from both sides is:

C. 2(x − 10) = 16

To determine which equation requires dividing both sides by 2 first and then subtracting 10 from both sides, let's go through each option and follow the steps:

A. 2(x + 10) = 16

To solve this equation, we need to first distribute the 2:

2x + 20 = 16

Then, we subtract 20 from both sides:

2x = -4

Finally, we divide both sides by 2:

x = -2

So for equation A, the order of steps is: distribute, subtract 20, divide by 2.

B. 10(x + 2) = 16

If we follow the same steps:

10x + 20 = 16

Subtracting 20 from both sides:

10x = -4

Dividing both sides by 10:

x = -0.4

So for equation B, the order of steps is: distribute, subtract 20, divide by 10.

C. 2(x - 10) = 16

Distributing:

2x - 20 = 16

Subtracting 20:

2x = 36

Dividing by 2:

x = 18

In this case, the order of steps is: distribute, subtract 20, divide by 2.

D. 2x + 10 = 16

Subtracting 10 from both sides:

2x = 6

Dividing by 2:

x = 3

For equation D, the order of steps is: subtract 10, divide by 2.

Therefore, the equation for which the order of steps is to first divide both sides by 2 and then subtract 10 from both sides is option D.

The equation for which the order of steps is to first divide both sides by 2 and then subtract 10 from both sides is option D. 2x + 10 = 16.