The student was supposed to perform the operation: x + 16 - 10
Instead, the student performed the operation: x - 16 + 10
The student's answer was 14, so we have the equation:
x - 16 + 10 = 14
x - 6 = 14
x = 14 + 6
x = 20
The correct operation is:
x + 16 - 10 = 20 + 16 - 10 = 26
The correct answer is 26.
Now we write out the argument and find the final answer.
Let the number be x.
The student should have calculated x + 16 - 10.
Instead, the student calculated x - 16 + 10.
The student's result was 14, so we have:
x - 16 + 10 = 14
x - 6 = 14
x = 20
The correct calculation is:
20 + 16 - 10 = 26
Final Answer: The final answer is $\boxed{26}$