### Instruction: What number, when divided by 2, gives the same result as when 2 is subtracted from it?### Response: I want to find a number x that satisfies the equation x/2 = x - 2.
To do that, I need to isolate x on one side of the equation by using inverse operations.
First, I will multiply both sides by 2 to get rid of the fraction on the left: 2 * (x/2) = 2 * (x - 2).
This simplifies to x = 2x - 4.
Next, I will subtract 2x from both sides to collect all the x terms on one side: x - 2x = 2x - 4 - 2x.
This simplifies to -x = -4.
Finally, I will multiply both sides by -1 to get a positive x on the left: -1 * (-x) = -1 * (-4).
This simplifies to x = 4.
I can check my answer by plugging it back into the original equation: 4/2 = 4 - 2.
This simplifies to 2 = 2, which is true.
Therefore, the number that satisfies the equation is 4.