1. **State the problem:** Solve the equation $$\frac{x - 2}{8} = 10$$ for $$x$$. 2. **Formula and rules:** To solve for $$x$$, multiply both sides of the equation by 8 to eliminate the denominator. 3. **Multiply both sides by 8:** $$\cancel{8} \times \frac{x - 2}{\cancel{8}} = 10 \times 8$$ This simplifies to: $$x - 2 = 80$$ 4. **Isolate $$x$$:** Add 2 to both sides: $$x - 2 + 2 = 80 + 2$$ $$x = 82$$ 5. **Final answer:** $$x = 82$$