Question

Resolva as equações (3x - 2) : (3x + 5) = (2x + 1) : (2x - 3)

Answer 1

$\frac{3x-2}{3x+5}=\frac{2x+1}{2x-3}$

$(3x-2)(2x-3)=(2x+1)(3x+5)$

$6x^2-9x-4x+6=6x^2+10x+3x+5$

$-9x-4x+6=10x+3x+5$

$-9x-4x-10x-3x=5-6$

$-26x=-1$

$26x=1$

$x=\frac{1}{26}$