1. **State the problem:** Solve the linear equation $100x + 98 = 120$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate $x$ by performing inverse operations. Subtract 98 from both sides, then divide both sides by 100. 3. **Step-by-step solution:** - Subtract 98 from both sides: $$100x + 98 - 98 = 120 - 98$$ $$100x = 22$$ - Divide both sides by 100: $$x = \frac{22}{100}$$ - Simplify the fraction: $$x = 0.22$$ 4. **Explanation:** We first removed the constant term on the left side by subtracting 98 from both sides to keep the equation balanced. Then, since $x$ is multiplied by 100, we divided both sides by 100 to isolate $x$. The final answer is $x = 0.22$. **Final answer:** $x = 0.22$