(х-2)*(3х-1) =2х (х-4)+2

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To solve this equation, we will first expand the left side of the equation:

(х-2)*(3х-1) = 2х(х-4) + 2

Expanding the left side:
3х^2 - х - 6х + 2 = 2х^2 - 8х + 2

Combining like terms:
3х^2 - 7х + 2 = 2х^2 - 8х + 2

Subtracting 2x^2 and adding 7x to both sides:
х^2 + x = 0

Factoring out an x:
x(x + 1) = 0

Now, set each factor equal to zero and solve for x:
x = 0
x + 1 = 0
x = -1

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