1. **State the problem:** Make $x$ the subject of the equation $$3y = x - 6$$. 2. **Formula and rules:** To make $x$ the subject, we need to isolate $x$ on one side of the equation. 3. **Step-by-step solution:** Start with the equation: $$3y = x - 6$$ Add 6 to both sides to move the constant term: $$3y + 6 = x - 6 + 6$$ Simplify the right side: $$3y + 6 = x$$ 4. **Final answer:** $$x = 3y + 6$$ This means $x$ is now the subject of the formula, expressed in terms of $y$.