Question

The solution of the equation 6x+7/3x+2=4x+5/2x+3

Answer 1

Answer: x = -11/9.

Step-by-step explanation:

First cross multiply

(6x+7) * (2x+3) = (3x+2) * (4x+5)

12x² + 18x + 14x + 21 = 12x² + 15x + 8x + 10

12x² + 32x + 21 - 12x² -23x - 10 = 0

9x + 11  = 0

x = -11/9.

Answer 2

Solution :-

$\begin{lgathered}(6x + 7)(2x + 3) = (3x + 2)(4x + 5) \\ \\ 6x(2x + 3) + 7(2x + 3) = 3x(4x + 5) + 2(4x + 5) \\ \\ 12 {x}^{2} + 18x + 14x + 21 = 12 {x}^{2} + 15x + 8x + 10 \\ \\ {12}x^{2} + 32x + 21 = 12 {x}^{2} + 23x + 10 \\ \\ 32x - 23x = 10 - 21 \\ \\9x = - 11 \\ \\ x = \frac{ - 11}{9}\end{lgathered}$

hope it helps...