What is the solution to the linear equation?

2x/3 - 1/2 = 1/3 - 5x/6
The common denominator is 2 * 3 = 6  Multiply through by 6
6(2x/3 - 1/2 = 1/3 - 5x/6)
6 *2x/3 - 6* 1/2 = 6*1/3 - 5x
4x - 3 = 2 - 5x                          Add 5x to both sides.
9x - 3 = 2                                Add 3 to both sides
9x = 5                                     Divide by 9
x = 5/9

Hope this helps some lol