1. **State the problem:** Solve the equation $32 - 4X = 12X$ for $X$. 2. **Write down the formula and rules:** To solve for $X$, we need to isolate $X$ on one side of the equation by combining like terms and using inverse operations. 3. **Step 1: Move all terms involving $X$ to one side.** Add $4X$ to both sides: $$32 - \cancel{4X} + 4X = 12X + 4X$$ $$32 = 16X$$ 4. **Step 2: Solve for $X$ by dividing both sides by 16:** $$\frac{32}{\cancel{16}} = \frac{16X}{\cancel{16}}$$ $$2 = X$$ 5. **Final answer:** $$X = 2$$ This means the value of $X$ that satisfies the equation is 2.