1. **State the problem:** Solve the equation $2x - 1 = 67$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate $x$ on one side of the equation by performing inverse operations. 3. **Step 1:** Add 1 to both sides to eliminate the $-1$: $$2x - 1 + 1 = 67 + 1$$ $$2x = 68$$ 4. **Step 2:** Divide both sides by 2 to solve for $x$: $$x = \frac{68}{2}$$ $$x = 34$$ 5. **Answer:** The solution to the equation is $x = 34$. This means when $x$ is 34, the original equation $2x - 1 = 67$ holds true.