It is not in factored form because each term has the common factor (x-2) which has not been factored out. So (3x+5)(x-2) + (2x-3)(x-2) = (x-2)(3x+5) + (x-2)(2x-3) = Common factors are written on the left (x-2) [ (3x + 5) + (2x - 3) ]. Now (x-2) is factored out. This could be simplified.
The answer to (3x + 5) (x - 2) + (2x - 3) (x - 2) not in factored form is (3x^2-x-10) + (2x^2-7a+6). First, you simplify the first part of the equation by multiplying numbers in the two brackets. Finally, multiply the numbers in the second bracket.
(5)(7)+(8)(7) is very similar to the problem you have. 7 is a gcf for me....for you it's (x-2) (7)(5+8) shows the gcf taken out. Now simplify to (7)(13). Now it shows two factors.....no plus sign between the terms. Now you do yours.