Order of operations on Wolfram Alpha

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I am confused by the fact that on Wolfram Alpha x(2)/x(2) = 1 but 2(x)/2(x) = x^2. Could someone explain what rules are being used here?

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It's probably interpreting the first as $\frac{x(2)}{x(2)}$ and the second as $2\frac{(x)}{2}(x)$.

Note that things like $\rm letter(number)$ often refer to evaluating functions, not multiplication. This is why it won't necessarily split the $x$ and the $2$ in the expression $x(2)$ from each other.

Edit: in fact W|A even tells you this is how it's interpreting your input:

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