1. The problem is to understand and apply the addition property of equality. 2. The addition property of equality states that if you add the same number to both sides of an equation, the equality remains true. Mathematically, if $a = b$, then $a + c = b + c$ for any number $c$. 3. This property is useful for solving equations by isolating the variable. For example, if you have $x - 3 = 7$, you can add 3 to both sides to get $x - 3 + 3 = 7 + 3$. 4. Simplifying both sides gives $x = 10$. 5. This shows that adding the same value to both sides maintains equality and helps solve for the unknown. 6. Always remember to perform the same operation on both sides to keep the equation balanced.