Question 1132453

look at the numerator and write both over 3x-2 as a denominator
that is 2(2x+3)+3(3x-2), which equals 4x+6+9x-6, or 13x/3x-2

the denominator written of 3x-2 is 2(2x+3)-2(3x-2), or 4x+6-6x+4 or -2x+10/3x-2
Both the numerator and denominator each have a 3x-2 in the denominator, so that may be removed

13x/(-2x+10) is the answer

plug 3 in for x, and the answer is 39/4 in the original and the simplified form.