Question

Find x if 6x+7/3x+2 = 4x+5/2x+3

Answer 1

Answer:

Hope it will help you to understand the problem

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...