Final answer:
Upon solving and evaluating each given equation, none of them result in the value of x being equal to 8. Either there is a typo in the question or the intended equation is not provided.
Step-by-step explanation:
The student is asking which equation, when solved, gives 8 for the value of x. To find the correct equation, we need to identify which one, when solved, will result in x being equal to 8.
Process of Elimination:
A) x + 41 = 14. This equation can be rewritten as x = 14 - 41, which simplifies to x = -27. So, this equation does not give us x = 8.
B) 1 - 9 = 15 - 12, simplifies to -8 = 3, which does not include a variable x, so it cannot yield an x value.
C) -2 = 11 - 4x. By adding 4x to both sides, we get 4x - 2 = 11. We then add 2 to both sides to obtain 4x = 13, and after dividing both sides by 4, we get x = 13/4 or 3.25. This is also not the equation that yields x = 8.
D) 41 - 7 = 40 + 14, simplifies to 34 = 54, which again does not include the variable x and hence doesn't give an x value.
None of the provided options, when solved correctly, result in x equaling 8. Therefore, there might be a typo in the question, or the correct equation is not listed.