Answer
$x\approx1.16$ or $-2.16$
Work Step by Step
$\frac{x+1}{x-1} = \frac{2x}{5}$
$5(x+1) = 2x(x-1)$
$5x+5 = 2x^{2}-2x$
$2x^{2}-7x-5=0$
$x=\frac{-2\pm\sqrt {2^{2}-4(2)(-5)}}{2(2)}$
$x=\frac{-2\pm\sqrt {44}}{4}$
$x=\frac{-2\pm2\sqrt {11}}{4}$
$x=\frac{-1\pm\sqrt {11}}{2}$
$x\approx1.16$ or $-2.16$
