How many values of x such that there is a value of y that satisfies x-y=y-x, and x≠y?
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First we start with the original equation: x-y=y-x
Then we add x to both sides: 2x-y=y
Then we add y to both sides: 2x=2y
Then we divide 2 from both sides: x=y
So the only solution is x=y
But the problem says that x=y is false, so there are 0 possible values of x such that the equation is satisfied.