1. **State the problem:** We need to solve the equation where Steven's points equal Isaiah's points: $$80 - 12x = 20 + 3x$$ 2. **Write down the formula and rules:** This is a linear equation in one variable $x$. To solve it, we will isolate $x$ by moving all terms involving $x$ to one side and constants to the other. 3. **Step-by-step solution:** - Start with the equation: $$80 - 12x = 20 + 3x$$ - Subtract 20 from both sides to move constants to the left: $$80 - 12x - 20 = 20 + 3x - 20$$ $$60 - 12x = 3x$$ - Add $12x$ to both sides to move all $x$ terms to the right: $$60 - 12x + 12x = 3x + 12x$$ $$60 = 15x$$ - Divide both sides by 15 to solve for $x$: $$\frac{60}{\cancel{15}} = \frac{15x}{\cancel{15}}$$ $$4 = x$$ 4. **Interpretation:** The value of $x$ is 4, meaning after 4 rounds, Steven and Isaiah have the same number of points. **Final answer:** $$x = 4$$