SOLUTION: 2(2x + 3) --------- + 3 3x - 2 ----------- - 2(2x + 3) --------- - 2 3x - 2 Put in simplest form. Unsure how to continue.

Question 1132453: 2(2x + 3)
--------- + 3
3x - 2
-------------
2(2x + 3)
--------- - 2
3x - 2
Put in simplest form.
Unsure how to continue.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!

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.

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