ok so I have the following problem:

4x+2

-------- (fraction line, i thought this would be easier)

12x^2+14x+4

the answer is 1/3x+2

I can get pretty close to this but i get stuck along the way

i end up with:

2(2x+1)

-------------

3x(2x+1)+2(2x+1)

I dont know what to do, if I cancel out the 2x+1's im still left with a 2 as the numerator, if i cancel out the 2(2x+1) I feel like im breaking a rule because its part of addition (3x+2)

thanks for any help