1. **State the problem:** Solve the equation $6x - 3 = 20$ for $x$. 2. **Formula and rules:** To solve a linear equation, isolate the variable on one side by performing inverse operations. 3. **Step 1:** Add 3 to both sides to eliminate the constant term on the left: $$6x - 3 + 3 = 20 + 3$$ which simplifies to $$6x = 23$$ 4. **Step 2:** Divide both sides by 6 to solve for $x$: $$x = \frac{23}{6}$$ 5. **Final answer:** $$x = \frac{23}{6}$$ This is the solution to the equation.