Question

Solve for x ; (5x-8)/(5x+7)=(3x+3)/(3x+5)​

Answer 1

Answer: Value of x is -61/35.

Answer 2

$= ( \frac{5x - 8}{5x + 7} ) = ( \frac{3x + 3}{3x + 5} )$

$= (5x - 8)(3x + 5)= (3x + 3)(5x +7)$

$5x(3x + 5) - 8(3x + 5) = 3x(5x + 7) + 5(5x + 7)$

$15 {x}^{2} + 25x - 24x - 40 = 15 {x}^{2} + 21x + 25x + 35$

$15x^{2} -15 {x}^{2} + x - 15 = 46x + 35$

$x - 15 = 46x + 35$

$x - 46x = 35 + 15$

$45x = 50$

$x = \frac{50}{45}$