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Solve for x:

297 = 7(8x-6) + 3

a) x = 21
b) x = 22
c) x = 23
d) x = 24

User Abendigo
by
7.7k points

1 Answer

6 votes

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.

User Momo
by
8.4k points

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