Given,  x/3 + 1.5 - 0.12x = 0.5x/2

=> x/3 + 15/10 - 12x/100 = 5x/(2 * 10)        {1.5 = 15/10, 0.12 = 12/100, 0.5 = 5/10}

=> x/3 + 3/2 - 3x/25 = x/(2 * 2)                    {15 and 10 are divided by 5, 12 and 100 are divided by 4, 5 and 10 are divided by 5}

=> x/3 + 3/2 - 3x/25 = x/4

=> x/4 + 3x/25 - x/3 = 3/2

=> (75x + 12x - 100x)/300 = 3/2              {LCM(4, 25, 3) = 300}

=> (87x - 100x)/300 = 3/2

=> -13x/300 = 3/2

=> -13x * 2 = 3 * 300

=> -26x = 900

=> 26x = -900

=> x = -900/26

=> x = -450/13           {900 and 26 are divided by 2}

S0, the value of x is -13/450