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

1/3x + 5/6x = 2 1/3 + 1;

x(1/3 + 5/6) = 3 1/3;

x(2/6 + 5/6) = 10/3;

7/6x = 10/3;

x = 10/3 * 6/7;

x = 20/7;

x = 2 6/7.