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Solve the equation: (2(4 6x) = 16 3x).
A. (x = 2)
B. (x =2)
C. (x = 3)
D. (x =3)

1 Answer

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Final answer:

To solve the equation (2(4 + 6x) = 16 + 3x), distribute the 2 to both terms inside the parentheses, combine like terms, isolate the variable, and solve for x.

Step-by-step explanation:

To solve the equation (2(4 + 6x) = 16 + 3x), we need to distribute the 2 to both terms inside the parentheses:

8 + 12x = 16 + 3x

Next, we need to combine like terms by subtracting 3x from both sides:

8 + 9x = 16

Then, we can isolate the variable by subtracting 8 from both sides:

9x = 8

Finally, we can solve for x by dividing both sides by 9:

x = 8/9

Therefore, the correct answer is x = 8/9.

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