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\begin{gathered}\frac{x + 1}{x - 1} - \frac{x - 1}{x - 1} = \frac{5}{6} \\ \\ \frac{x + 1}{x - 1} -1 = \frac{5}{6} \\ \\ \frac{x + 1 - x + 1}{x - 1} = \frac{5}{6} \\ \\ \frac{2}{x - 1} = \frac{5}{6} \\ \\ 5x - 5 = 12 \\ \\ 5x = 12 + 5 \\ \\ 5x = 17 \\ \\ x = \frac{17}{5} \\ \\ x = 3.4\end{gathered}
x−1
x+1
−
x−1
x−1
=
6
5
x−1
x+1
−1=
6
5
x−1
x+1−x+1
=
6
5
x−1
2
=
6
5
5x−5=12
5x=12+5
5x=17
x=
5
17
x=3.4
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