Question

(2x - 5)/(3x - 1) = (2x - 1)/(3x + 2)plz solve the equation and please show the process

Answer 1

Answer:

$\frac{2x - 5}{3x - 1} = \frac{2x - 1}{3x + 2} \\ \therefore \: (2x - 5)(3x + 2) = (2x - 1)(3x - 1) \\ \therefore \: 2x(3x + 2) - 5(3x + 2) = 2x(3x - 1) - 1(3x - 1) \\ \therefore \:6 {x}^{2} + 4x - 15x - 10 = 6 {x}^{2} - 2x - 3x + 1 \\ \therefore \:6 {x}^{2} - 11x - 10 = 6 {x}^{2} - 5x + 1 \\ - 11x - 10 = - 5x + 1 \\ - 11x - 10 + 5x - 1 = 0 \\ - 6x - 11 = 0 \\ 6x + 11 = 0 \\ 6x = - 11 \\ \implies \: x = \frac{ - 11}{6}$