Expanding the left side of the equation:

(х - 2 )( 3х - 1 ) = 3х^2 - х - 6х + 2 = 3х^2 - 7х + 2

Expanding the right side of the equation:

2х( х - 4 ) + 2 = 2х^2 - 8х + 2

Now we can rewrite the equation as:

3х^2 - 7х + 2 = 2х^2 - 8х + 2

Subtracting 2х^2 - 8х + 2 from both sides:

3х^2 - 7x + 2 - 2х^2 + 8х - 2 = 0
x^2 + x = 0

Factoring out an x from the left side:

x(x + 1) = 0

Setting each factor to zero:

x = 0 or x = -1

Therefore, the solutions to the equation are x = 0 and x = -1.