Step-by-step explanation:
- x/(2x - 4) - (2x - 11)/(x + 2) = 5/8
- x/(x - 2) - (4x - 22)/(x + 2) = 5/4
- x(x + 2) - (4x - 22)(x - 2) = 5/4(x + 2)(x - 2)
- 4(x² + 2x - 4x² + 8x + 22x - 44) = 5(x² - 4)
- 4(-3x² + 32x - 44) = 5x² - 20
- - 12x² + 128x - 176 - 5x² + 20 = 0
- - 17x² + 128x - 156 = 0
- 17x² - 128x + 156 = 0
- x = (64 ± 38)/17
- x = 6 or x = 26/17
