Hi Erika C.
Let n represent your number
According to the information given
3n + 5 = n - 7
Just solve this for n
3n - n = -5 - 7
2n = -12
n = -12/2
n = -6
Checking in the original equations
3n + 5 = n - 7
3(-6) + 5 = -6 - 7
-18 + 5 = -6 - 7
-13 = - 13