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
A.2(x + 10) = 16
B.10(x + 2) = 16
C.2(x − 10) = 16
D.2x + 10 = 16
C. 2(x − 10) = 16
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.