1. **State the problem:** Solve the equation $2x - 10 = 3(x - 10)$. 2. **Write down the formula and rules:** We will use the distributive property and properties of equality to isolate $x$. 3. **Apply the distributive property:** Expand the right side: $$2x - 10 = 3x - 30$$ 4. **Bring all terms involving $x$ to one side and constants to the other:** Subtract $2x$ from both sides: $$-10 = x - 30$$ 5. **Isolate $x$:** Add 30 to both sides: $$-10 + 30 = x$$ $$20 = x$$ 6. **Final answer:** $$x = 20$$