1. **State the problem:** Solve for $x$ in the equation $\log_{10}(x) - \log_{10}(2) = 1$. 2. **Recall the logarithm subtraction rule:** $\log_b(a) - \log_b(c) = \log_b\left(\frac{a}{c}\right)$. 3. **Apply the rule:** $$\log_{10}\left(\frac{x}{2}\right) = 1$$ 4. **Rewrite the logarithmic equation in exponential form:** $$\frac{x}{2} = 10^1$$ 5. **Simplify the right side:** $$\frac{x}{2} = 10$$ 6. **Solve for $x$ by multiplying both sides by 2:** $$x = 2 \times 10$$ 7. **Calculate the final value:** $$x = 20$$ **Answer:** $x = 20$