Answer
$x = -6, 3$
Work Step by Step
$\frac{x+7}{2} = \frac{x+2}{x-2}$
$(x+7)(x-2)= 2(x+2)$
$x(x+7)-2(x+7)= 2x+4$
$x^{2} + 7x -2x -14 = 2x +4$
$ x^{2} +5x -14 = 2x +4$
$x^{2} +5x - 14 -2x -4 = 0$
$ x^{2} + 3x - 18 = 0$
$ (x+6)(x-3) = 0$
$x = -6, 3$
