Question

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

Answer 1

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...