[tex] \sf \: \frac{1}{x - 1} + \frac{2}{x + 1} - \frac{3}{x} = 0 \\ \small \\ \sf \: x(x + 1) + 2x(x - 1) - 3(x - 1)(x + 1) = 0[/tex]
[tex] \sf \: simplify \\ \sf \: 3 - x = 0 \\ \sf \: substract \: 3 \: from \: both \: sides \\ \sf \: - x = - 3[/tex]
[tex] \sf \: multiply \: both \: sides \: by \: - 1 \\ x = 3[/tex]
ok...
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[tex] \sf \: \frac{1}{x - 1} + \frac{2}{x + 1} - \frac{3}{x} = 0 \\ \small \\ \sf \: x(x + 1) + 2x(x - 1) - 3(x - 1)(x + 1) = 0[/tex]
[tex] \sf \: simplify \\ \sf \: 3 - x = 0 \\ \sf \: substract \: 3 \: from \: both \: sides \\ \sf \: - x = - 3[/tex]
[tex] \sf \: multiply \: both \: sides \: by \: - 1 \\ x = 3[/tex]
ok...