What is the solution of 6x-1 / 2 = 1 / 2-1 / 3x-2

What is the solution of 6x-1 / 2 = 1 / 2-1 / 3x-2

We can get 2 (1-3x) = (6x-2) (1-3x) - 2 × 2 (6x-2) by removing the denominator
It is reduced to 9x ^ 2 + 3x-2 = 0
The solution is: x = - 2 / 3 or x = 1 / 3
Because the denominator cannot be 0, X ≠ 1 / 3
So x = - 2 / 3