Question

(x-2)/(x+2)+6*(x-2/x-6)=1 where x not equals to - 2,6

Answer 1

HEY FRIEND,
$\frac{x - 2}{x + 2} + 6 \times \frac{x - 2}{x - 6} = 1$
$\frac{x - 2}{x + 2} + \frac{6x - 12}{x - 6} = 1$
$\frac{{x}^{2} - 2x - 6x + 12 + 6 {x}^{2} - 12x + 12x - 24}{ {x}^{2} - 6x + 2x - 12 } = 1$
${7x}^{2} - 8x - 12 = {x}^{2} - 4x - 12$
$6 {x}^{2} - 4x = 0$
$2x(3x - 2) = 0$
$2x = 0 \\ x = 0$
OR
$3x - 2 = 0 \\ x = \frac{2}{3}$
HOPE IT HELPS.....