I will first rewrite the inequality for better understanding.
x - 15 > -7
To solve for this, we need to get x by itself and then simplify if needed.
x -15 > -7
Add 15 to both sides.
-15 + 15 = 0
-7 + 15 = 8
You are left with x > 8.
x > 8 is your inequality.
I hope this helps!