1. **State the problem:** Solve the equation $2 = 2 + 5$. 2. **Analyze the equation:** The equation states that $2$ is equal to $2 + 5$. 3. **Simplify the right side:** Calculate $2 + 5$ which equals $7$. 4. **Rewrite the equation:** Now the equation is $2 = 7$. 5. **Check for equality:** Since $2$ does not equal $7$, the equation has no solution. **Final answer:** The equation $2 = 2 + 5$ is false and has no solution.