1. **State the problem:** Solve for $x$ in the equation $$2(x - 2) = 4x - 13$$ and express the answer to the nearest tenth. 2. **Apply the distributive property:** Multiply 2 by each term inside the parentheses: $$2(x - 2) = 2x - 4$$ So the equation becomes: $$2x - 4 = 4x - 13$$ 3. **Isolate variable terms:** Subtract $2x$ from both sides to get all $x$ terms on one side: $$\cancel{2x} - 4 = 4x - 13 - \cancel{2x}$$ which simplifies to: $$-4 = 2x - 13$$ 4. **Isolate constant terms:** Add 13 to both sides to move constants to the left: $$-4 + 13 = 2x - 13 + 13$$ which simplifies to: $$9 = 2x$$ 5. **Solve for $x$:** Divide both sides by 2: $$\frac{9}{\cancel{2}} = \frac{2x}{\cancel{2}}$$ which simplifies to: $$x = \frac{9}{2} = 4.5$$ 6. **Final answer:** $x = 4.5$ (already to the nearest tenth).