To simplify the expression (2x-3)(3x-1)-6x(x-2), we can use the distributive property.

First, let's simplify the expression inside the first parentheses: (2x-3)(3x-1)
Using the distributive property, we multiply each term in the first parentheses by each term in the second parentheses:

2x * 3x = 6x^2
2x * -1 = -2x
-3 * 3x = -9x
-3 * -1 = 3

So, the simplified expression inside the first parentheses is: 6x^2 - 2x - 9x + 3

Next, let's simplify the expression inside the second parentheses: 6x(x-2)
Using the distributive property, we multiply each term inside the parentheses by 6x:

6x * x = 6x^2
6x * -2 = -12x

So, the simplified expression inside the second parentheses is: 6x^2 - 12x

Now, let's substitute these simplified expressions back into the original expression:

(2x-3)(3x-1)-6x(x-2) = (6x^2 - 2x - 9x + 3) - (6x^2 - 12x)

Next, let's simplify the expression by combining like terms:

6x^2 - 2x - 9x + 3 - 6x^2 + 12x

The 6x^2 and -6x^2 terms cancel each other out, and the -2x, -9x, and 12x terms combine to give us -2x - 9x + 12x = x.

So, the simplified expression is: x + 3.