Question

3x-2/2-3x+1/3=4x-6/5

Answer 1

3x - 3x - 4x = -6/5 + 2/2 - 1/3
-4x = (-36 + 30 - 10)/30
-4x = -16/30
x = (-16/30)/-4
x = -16/30 . -4/1
x = 64/30

Answer 2

$\frac{3x-2}{2-3x}+\frac{1}{3}=4x-\frac{6}{5} \\ \\ \frac{3x-2}{2-3x}=4x-\frac{6}{5}-\frac{1}{3} \\ \\ \frac{3x-2}{2-3x}=\frac{60x-18-5}{15} \\ \\ \frac{3x-2}{2-3x}=\frac{60x-23}{15} \\ \\ (60x-23)(2-3x)=15(3x-2)=\\ \\ -180 x^2+144 x-16 = 0$

As raízes deta equação de 2o. grau são: 2/15 e 2/3