1. **State the problem:** Solve the equation $-5 + 10X = 15X$ for $X$. 2. **Write the formula and rules:** To solve for $X$, we want to isolate $X$ on one side of the equation. We can do this by moving all terms involving $X$ to one side and constants to the other. 3. **Move terms involving $X$ to one side:** Subtract $10X$ from both sides: $$-5 + 10X - 10X = 15X - 10X$$ which simplifies to $$-5 = 5X$$ 4. **Isolate $X$ by dividing both sides by 5:** $$\frac{-5}{\cancel{5}} = \frac{5X}{\cancel{5}}$$ which simplifies to $$-1 = X$$ 5. **Final answer:** $$X = -1$$ This means the value of $X$ that satisfies the equation is $-1$.