Given, x/3 - (x - 2)/2 = 7/3

=> {2x - 3(x - 2)}/6 = 7/3        {LCM(3, 2) = 6}

=> {2x - 3x + 6}/6 = 7/3

=> (-x + 6)/6 = 7/3

=> 3(-x + 6) = 7 * 6              {cross multiply}

=> -3x + 18 = 42

=> -3x = 42 - 18

=> -3x = 24

=> 3x = -24

=> x = -24/4

=> x = -8