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.