Two xminus 3 divided by 2 minus x equal two x minus 4 divided by 1 minus x, solve for x

2x - 3 = 2x - 4

2 - x 1 - x

(2x - 3) (1 - x) = (2x - 4) (2 - x)

2x (1 - x) - 3 (1 - x) = 2x (2 - x) - 4 (2 - x)

2x (1) - 2x (x) - 3 (1) + 3 (x) = 2x (2) - 2x (x) - 4 (2) + 4 (x)

2x - 2x² - 3 + 3x = 4x - 2x² - 8 + 4x

-2x² + 2x - 3 + 3x = - 2x² + 4x - 8 + 4x

-2x² + 2x + 3x - 3 = - 2x² + 4x + 4x - 8

-2x² + 5x - 3 = - 2x² + 8x - 8

+ 2x² + 2x²

5x - 3 = 8x - 8

- 5x - 5x

-3 = 3x - 8

+ 8 + 8

-5 = 3x

3 3

-1²/₃ = x