math question, help. I got two different answers for this and I don’t know which one is correct. please include steps

Answer:
16/(3(x+1))
Step-by-step explanation:
We can factor the denominator of the second term, which lets us see how to combine terms:
[tex]\displaystyle\frac{7}{x+1}-\frac{5}{3x+3}=\frac{7}{x+1}-\frac{5}{3(x+1)}\\\\=\frac{3\cdot 7}{3(x+1)}-\frac{5}{3x+3}=\frac{21-5}{3(x+1)}=\frac{16}{3(x+1)}[/tex]