Here is the solution for the equation: $$x - 2y = \frac{y-x}{w}$$ The goal is to express $x$ in terms of $y$ and $w$. Step 1: Multiply both sides of the equation by $w$ to eliminate the denominator. $$w(x - 2y) = y - x$$ Step 2: Distribute $w$ on the left side of the equation. $$wx - 2wy = y - x$$ Step 3: Gather all terms containing $x$ on one side of the equation and terms not containing $x$ on the other side. Add $x$ to both sides and add $2wy$ to both sides. $$wx + x = y + 2wy$$ Step 4: Factor out $x$ from the terms on the left side. $$x(w + 1) = y + 2wy$$ Step 5: Divide both sides by $(w+1)$ to isolate $x$. $$x = \frac{y + 2wy}{w + 1}$$ Step 6: (Optional) Factor out $y$ from the numerator. $$x = \frac{y(1 + 2w)}{w + 1}$$ The solution for $x$ in terms of $y$ and $w$ is: $$\boxed{x = \frac{y(1 + 2w)}{w + 1}}$$ That's 2 down. 3 left today — send the next one.