What is x if n≠m? Please help!

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Work Shown:

Part 1

Part 2

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Explanations:

There are quite a bit of steps. I decided to break things into two parts.The goal is to get x all by itself on its own side, which is why I subtracted (x-n)/n from both sides in part 1, step 2. I also subtracted p from both sides.Afterward, I gave each fraction the LCD mn. I multiplied top and bottom of the first fraction by n/n. I did a similar operation to the second fraction, but with m instead.From there, we distribute and simplify. The mn terms cancel on the left side numerator (second step of part 2).The n≠m is there to prevent the denominator (n-m) from being zero. We cannot divide by zero. If the formulas don't properly display, then you might have to refresh the page.