1. **State the problem:** Solve the equation $2X + 5 = 1X$ for $X$. 2. **Write down the equation:** $$2X + 5 = 1X$$ 3. **Isolate the variable terms on one side:** Subtract $1X$ from both sides: $$2X + 5 - \cancel{1X} = 1X - \cancel{1X}$$ which simplifies to $$2X - 1X + 5 = 0$$ 4. **Simplify the variable terms:** $$ (2 - 1)X + 5 = 0$$ $$1X + 5 = 0$$ which is $$X + 5 = 0$$ 5. **Isolate $X$ by subtracting 5 from both sides:** $$X + 5 - 5 = 0 - 5$$ $$X = -5$$ **Final answer:** $$X = -5$$