What is the solution to the question below?

choice 1) x = 2,3

Step-by-step explanation:

2x/(x - 2) - (x + 3)/(x - 4) = -4x/(x² - 6x + 8)

Factor x² - 6x + 8 into (x - 2)(x - 4):

2x/(x - 2) - (x + 3)/(x - 4) = -4x/(x - 2)(x - 4)

multiply both sides of the equation by (x - 2)(x - 4):

2x(x - 4) - (x + 3)(x - 2) = -4x

simplify:

2x² - 8x - x² + 2x - 3x + 6 = -4x

combine like terms:

x² -9x + 6 = -4x

add 4x to each side:

x² -5x + 6 = 0

factor:

(x - 3)(x - 2) = 0

x = 2, x = 3