1. **State the problem:** Solve the equation $x - 3 = 2$ for $x$. 2. **Formula and rules:** To isolate $x$, add 3 to both sides of the equation. This uses the addition property of equality: if $a = b$, then $a + c = b + c$. 3. **Apply the rule:** $$x - 3 + 3 = 2 + 3$$ 4. **Simplify both sides:** $$x + \cancel{-3} + \cancel{3} = 5$$ 5. **Final answer:** $$x = 5$$ This means the value of $x$ that satisfies the equation is 5.