Final answer:
To find equations with the same value of x as 2/3(6x12)=-24, first solve for x, which equals -36. Then, select two other equations that when solved, also yield x = -36.
Step-by-step explanation:
The question asks us to find equations that have the same value of x as the given equation 2/3(6x12)=-24. First, we need to solve for x in the given equation. After simplifying the equation by multiplying 6 by 12, we get 2/3x72 = -24. Then, by multiplying both sides by the reciprocal of 2/3, which is 3/2, we get x = -24 * 3/2. This simplifies to x = -36. Now, we must select the two equations from the options provided (not specified in the original question here) that will also yield x = -36 when solved. Keep in mind the rules of multiplication and division signs when dealing with positive and negative values to ensure correct solutions.
Next, we can isolate the x term by subtracting 8 from both sides, which gives us 4x = -32. Finally, to solve for x, we divide both sides by 4, resulting in x = -8. So, the equation 2/3(6x+12) = -24 has the same value of x as x = -8.