So we have: 5x/6 - (3-2x)/8 = (4x-3)/12
Multiply through by 24:
20x - 9 + 6x = 8x - 6
Now solve:
20x + 6x - 8x = 9 - 6
18x = 3
x = 3/18 = 1/6
Why multiply by 24? 24 is lowest number that 6,8 and 12 divide into.
How did I get, as example, 20x? 5x/6 * 24 = 5x * 4 = 20x.
Clear?