Your answer is x = 1/2 and x = 2.
First we need to rearrange the equation so that it equals 0:
2x² - 3x = 2x - 2
2x² - 5x + 2 = 0
Then to factorise, we know that the x terms in the brackets will be 2x and x, so then you just need to deduce that you will need (2x - 1) and (x - 2) to get -5x + 2 at the end of the expression:
(2x - 1)(x - 2) = 0
Then we set each bracket equal to 0 and solve for x:
x = 1/2, x = 2
I hope this helps! Let me know if you have any questions :)