Решить уравнение 5/x+3/x-6=2/3

[latex] \frac{5}{x} + \frac{3}{x-6}= \frac{2}{3} \\ \frac{5(x-6)+3x}{x(x-6)}= \frac{2}{3} \\ \frac{5x-30+3x}{x(x-6)}= \frac{2}{3} \\ \frac{8x-30}{x(x-6)}= \frac{2}{3} \\ \\ 2x(x-6)=3*2(4x-15) \\ x(x-6)=3(4x-15) \\ x^2-6x-12x+45=0 \\ x^2-18x+45=0 \\ (x-15)(x-3)=0 \\ x_1=15 \\ x_2=3[/latex]