Final answer:
Upon simplifying the given equation 2/3(6x+12) - 24, it is apparent that option C (4x = -16) is a perfect match for the value of x. None of the other options match directly.
Step-by-step explanation:
To determine which equations have the same value of x as the equation 2/3(6x+12) - 24, let's first simplify the given equation:
2/3(6x+12) - 24 = 0
(2*6x + 2*12)/3 - 24 = 0
4x + 8 - 24 = 0
4x - 16 = 0
4x = 16
Now that we have simplified the given equation, we can compare it to the options presented:
- A. 4x = 8 does not have the same value for x.
- B. 9x + 18 = -24 simplifies to 9x = -42 which does not match.
- C. 4x = -16 matches the simplified equation and therefore has the same value for x.
- D. 18x + 36 is not in the correct form and doesn't match.
- E. 4x - 32 simplifies to 4x = 32, which does not match the solution x = 4.
Therefore, the equations that have the same value for x as 2/3(6x+12) - 24 are options A and C, with option C being a perfect match for the value of x.