Final answer:
The solution to the equation 4x - 17 = 65 is x = 20.5, which is not listed in the provided multiple-choice options, indicating a possible error in the question or options.
Step-by-step explanation:
To find the value of x in the equation 4x − 17 = 65, first add 17 to both sides of the equation to isolate the term with x on one side. This gives us 4x = 65 + 17, which simplifies to 4x = 82. Next, divide both sides by 4 to solve for x, resulting in x = 82 / 4 which simplifies to x = 20.5. However, this value is not listed in the options provided, which suggests there might be an error in the question or the provided options. If we consider the closest integer value, it would be x = 21 (approximated), but this is still not an option. Therefore, based on the given choices, the equation 4x − 17 = 65 has no correct answer.