1. **Problem:** Solve the equation $2000x - 0.03 = 6900$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate $x$ by performing inverse operations: addition/subtraction and multiplication/division. 3. **Step-by-step solution:** 1. Add $0.03$ to both sides: $$2000x - 0.03 + 0.03 = 6900 + 0.03$$ $$2000x = 6900.03$$ 2. Divide both sides by $2000$ to isolate $x$: $$\cancel{2000}x = \frac{6900.03}{\cancel{2000}}$$ $$x = \frac{6900.03}{2000}$$ 3. Simplify the fraction: $$x = 3.450015$$ 4. **Answer:** $$x = 3.450015$$ This means the value of $x$ that satisfies the equation is approximately $3.45$.