1. The problem states: Solve the equation when $x+2 = x+1$. 2. To solve this, we use the property of equality: if two expressions are equal, their simplified forms must also be equal. 3. Simplify both sides: $$x + 2 = x + 1$$ 4. Subtract $x$ from both sides to isolate constants: $$x + 2 - x = x + 1 - x$$ $$2 = 1$$ 5. This is a contradiction because $2 \neq 1$. 6. Therefore, there is no value of $x$ that satisfies the equation $x+2 = x+1$. Final answer: No solution.