multiply by x - 2 ==> \(2x(x-2) - 3 = 4(x - 2) - 3\)
add 3 to both sides ==> \(2x(x-2) = 4(x-2)\)
simplify ==> \(2x^2 - 4x = 4x - 8\)
simplify again ==> \(2x^2 - 8x - 8 = 0 ===> x^2 - 4x - 4 = 0\)
use quadratic formula ==> \(x = {4 \pm \sqrt{(-4)^2-4*1*-4} \over 2} \)
so \(2 \) solutions