Final answer:
After solving the equation 297 = 7(8x-6) + 3 step-by-step, the value of x is found to be 6, which is not one of the given options. It is advisable to recheck the original problem for any errors.
Step-by-step explanation:
To solve for x in the equation 297 = 7(8x-6) + 3, first distribute the 7 into the parentheses:
297 = 56x - 42 + 3
Then combine like terms:
297 = 56x - 39
Add 39 to both sides to isolate the term with the x:
336 = 56x
Now, divide both sides by 56 to find the value of x:
x = 336 / 56
x = 6
However, this result is not among the options listed in the question, indicating there may have been an error in the calcuation. Let's re-check:
First step:
297 - 3 = 294
Second step:
294 = 7(8x - 6)
Divide by 7:
42 = 8x - 6
Add 6:
48 = 8x
Divide by 8:
x = 48 / 8
x = 6
After re-checking, it's still apparent that the correct solution is not among the options provided. We must inform the student of the discrepancy and encourage double-checking the original equation and the possible answers.