1. **State the problem:** Solve the equation $2.5 (y - x) = 0$ given $y = 6$ and find $x$. 2. **Write the equation:** $$2.5 (y - x) = 0$$ 3. **Substitute the value of $y$:** $$2.5 (6 - x) = 0$$ 4. **Divide both sides by 2.5 to isolate the parenthesis:** $$\cancel{2.5} (6 - x) = \cancel{2.5} \times 0$$ $$6 - x = 0$$ 5. **Solve for $x$:** $$6 - x = 0$$ $$-x = -6$$ 6. **Multiply both sides by $-1$ to get $x$ positive:** $$x = 6$$ **Final answer:** $x = 6$