Step 1 :The student's claim is incorrect. Solve the equation: \(x - 7 = -15\)
Step 2 :Add 7 to both sides: \(x = -8\)
Step 3 :\boxed{x = -8} is the unique solution.
Step 4 :An addition equation with a solution of 10: \(3 + 7 = 10\)
Step 5 :A subtraction equation with a solution of 10: \(15 - 5 = 10\)