2.35 is the width measurement, which is only half the story. There's diametertoo. And unless you get the diameter spot on, the tire won't fit.
And normal doesn't cut it, there are plenty of normal rim sizes. You have to be specific.
Rims can usually take tires of quite different widths, but the tire has to clear the frame too. And 2.35 is quite wide. My bike can't run it.
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Yes, a 1.95 tire can fit a 2.0 rim. You can probably fit anything between a 1.75 to 2.125 tire on that same rim.