1. **State the problem:** Solve the equation $$2x - 10 = 15$$ for $$x$$. 2. **Add 10 to both sides** to isolate the term with $$x$$: $$2x - 10 + 10 = 15 + 10$$ which simplifies to $$2x = 25$$ 3. **Divide both sides by 2** to solve for $$x$$: $$\frac{2x}{\cancel{2}} = \frac{25}{\cancel{2}}$$ which simplifies to $$x = \frac{25}{2}$$ 4. **Final answer:** $$x = \frac{25}{2}$$ or $$12.5$$. This is the simplest form of the solution.