1. **State the problem:** If $x+2=4$, find the value of $x$. 2. **Use the subtraction property of equality:** Subtract $2$ from both sides to isolate $x$. $$x+2-2=4-2$$ 3. **Show the cancellation:** $$x+ \cancel{2}-\cancel{2}=4-2$$ 4. **Simplify both sides:** $$x=2$$ 5. **Final answer:** The value of $x$ is $2$.