Question

(9x-7)/(3x+5)=(3x-4)/(x-6)​

Answer 1

$\huge\tt\colorbox{pink}{ANSWER}$

$\large{\frac{(9x - 7)}{(3x + 5)} = \frac{(3x - 4)}{(x - 6)}}$

$(9x - 7)(x - 6) = (3x - 4)(3x + 5)$

${9x}^{2} - 54x - 7x + 42 = {9x}^{2} + 15x - 12x - 20$

${9x}^{2} - 61x + 42 = {9x}^{2} +3x - 20$

${9x}^{2} - {9x}^{2} - 61x - 3x = 42 + 20$

$- 64x = 62$

$\large{x = - \frac{62}{64}}$

$\large\bold{x = \frac{31}{32}}$