2-3x+x^2=2x^2-7x+6

x^2-4x+4=0

(x-2)^2=0

x=2

Test: Because the right side of the equation contains 1/(2-x), x≠2.

So there is no solution.

2. solution: the original formula = [(x-3)-2 (x-1)]/(x 2-1)

=-(x+ 1)/(x^2- 1)

= 1/( 1-x)