Answer
$x\approx4.65$ or $-3.65$
Work Step by Step
$\frac{x+1}{3} = \frac{5}{x-2}$
$(x+1)(x-2) = 5\times3$
$x^{2}-x-2 = 15$
$x^{2}-x-17 = 0$
$x=\frac{-(-1)\pm\sqrt {(-1)^{2}-4(1)(-17)}}{2(1)}$
$x=\frac{1\pm\sqrt {69}}{2}$
$x\approx4.65$ or $-3.65$
