## anonymous one year ago (5)/(2x+8)+(7)/(3x+12) Please Explain Steps!

1. anonymous

$\frac{ 5 }{ 2x+8 }+\frac{ 7 }{ 3x+12 }$ Can you factor the denominators?

2. anonymous

Yes, by factoring out their respective GCF's.

3. anonymous

2(x+4) and 3(x+4)

4. anonymous

ok so then you need a common denominator by finding the lcm of 2(x +4) and 3(x + 4)

5. anonymous

6(x+4)?

6. anonymous

right. so then you would multiply the first fraction by 3/3 and the second by 2/2 to get the common denominator

7. anonymous

Oh! That makes sense. It was the numerators that I was confused about.

8. anonymous

Leaving us with 29/6(x+4)?

9. anonymous

exactly

10. anonymous

Thank you so much for your explanation!

11. anonymous

you're welcome