3x-2/3x=5/3-6/x The solution set is {..}

Using PEDMAS to determine the order of operations:

3x -2/3x = 5/3 - 6/x
7/3x = 5/3 - 6/x
7/3x² = 5/3x - 6
7x² = 5x - 18
7x² - 5x + 18 = 0
x = (1/14)[-5±√(25-504)] = (-5±i√479)/14

x = -(5+i√479)/14, -(5-i√479)/14