Question

3x+2/2x+3=6x+7/4x+5. please solve this I will be a 3x-2/2x+3=6x+1/4x+5

Answer 1

Step-by-step explanation:

Q1. =>(3x+2)(4x+5)= (6x+7)(2x+3) by cross multiplication

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

=> 12x^2+15x+8x+10 = 12x^2+18x+14x+21

=> 23x + 10 = 32x +21

=> 23x-32x=21-10

=> -9x = 11

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...