1. **State the problem:** Solve the equation $x + 2 = 6$ for $x$. 2. **Formula and rules:** To isolate $x$, subtract 2 from both sides of the equation. This uses the subtraction property of equality which states if you subtract the same number from both sides, the equality holds. 3. **Intermediate work:** $$x + 2 = 6$$ Subtract 2 from both sides: $$x + 2 - \cancel{2} = 6 - \cancel{2}$$ 4. **Simplify:** $$x = 4$$ 5. **Answer:** The solution to the equation is $x = 4$.