1. **State the problem:** Solve the equation $4X - 3 = 2(X + 5)$. 2. **Use the distributive property:** Expand the right side: $$4X - 3 = 2X + 10$$ 3. **Isolate variable terms on one side:** Subtract $2X$ from both sides: $$4X - \cancel{2X} - 3 = \cancel{2X} + 10 - 2X$$ $$2X - 3 = 10$$ 4. **Isolate the constant term:** Add 3 to both sides: $$2X - 3 + 3 = 10 + 3$$ $$2X = 13$$ 5. **Solve for $X$ by dividing both sides by 2:** $$\frac{2X}{\cancel{2}} = \frac{13}{\cancel{2}}$$ $$X = \frac{13}{2}$$ **Final answer:** $X = \frac{13}{2}$ or $6.5$