Final answer:
The given equation has been solved as x = -3, but this does not match any of the provided options. If the equation contained a typo, solving it as x + \frac{6}{3} - 5 = -2 results in x = 1, which also is not listed among the options. The student should check the original equation and options for any errors.
Step-by-step explanation:
The solution to the equation x + 6 \frac{1}{3} - 5 = -2 can be found by simplifying and solving for x. First, combine the whole numbers and then isolate x:
- x + 6 - 5 = -2
- x + 1 = -2
- x = -2 - 1
- x = -3
However, this does not match any of the given options (A. 7, B. 139, C.−27, D. 21). It seems there may be an error in the question or answer choices. If the equation was meant to be x + \frac{6}{3} - 5 = -2 instead, then we would solve as follows:
- x + 2 - 5 = -2
- x - 3 = -2
- x = -2 + 3
- x = 1
But again, this solution does not match any of the provided options. It's possible that the typo in the question altered the intended equation. The student should verify the equation and the options with their teacher.