Answer
$x=\sqrt {15}$ or $-\sqrt{15}$
Work Step by Step
$\frac{x+1}{2} = \frac{7}{x-1}$
$(x+1)(x-1) = 7\times2$
$x^{2}-1 = 14$
$x^{2}=15$
$x=\sqrt {15}$ or $-\sqrt{15}$
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