Question

Solve
6x+5/2x-3=3x-4/x+8

Answer 1

x=-2/5 I hope that your answer

Answer 2

$\frac{6x + 5}{2x - 3} = \frac{3x - 4}{x + 8} \\ \\ (6x + 5)(x + 8) = (2x - 3)(3x - 4) \\ \\ 6 {x}^{2} + 53x + 40 = 6 {x }^{2} - 17x + 12 \\ \\ 6 {x}^{2} - 6 {x}^{2} + 53x + 17x + 40 - 12 = 0 \\ \\ 70x + 28 = 0 \\ \\ 70x = - 28 \\ \\ x = \frac{ - 28}{70 } = \frac{ - 2 \times 14}{5 \times 14} = - \frac{2}{5 } \\ \\ your \: answer \: x = - \frac{2}{5}$