Question

Solve for
x: 6x+7/3x+2=4x+13/2x+5​

Answer 1

Step-by-step explanation:

$\frac{6x + 7}{3x + 2} = \frac{4x + 13}{2x + 5}$

$(6x + 7)(2x + 5) = (4x + 13)(3x + 2)$

$12 {x}^{2} + 30x + 4x + 35 = 12 {x}^{2} + 8x + 39x + 26$

$12 {x}^{2} + 34x + 35 = 12 {x}^{2} + 47x + 26$

$12 {x}^{2} - 12 {x}^{2} + 34x - 47x + 35 - 26 = 0$

$13x + 9 = 0$

$13x = - 9$

$x = - \frac{9}{13}$