Question

3х-2/5-х=3(х+3)/2-х Решите уравнение пожалуйста

Answer 1

Ответ:

$\frac{3x - 2}{5 - x} = \frac{3 \times (x + 3)}{2 - x} \\ \frac{3x - 2}{5 - x} = \frac{3x + 9}{2 - x} \\ (3x - 2) \times (2 - x) = (3x + 9) \times (5 - x) \\ 6x - 3 {x}^{2} - 4 + 2x = 15x - 3 {x}^{2} + 45 - 9x \\ 6x - 4 + 2x = 15x + 45 - 9x \\ 8x - 4 = 6x + 45 \\ 8x - 6x = 45 + 4 \\ 2x = 49 \\ x = \frac{49}{2} = 24 \frac{1}{2} = 24.5$