1. **State the problem:** Solve the linear equation $2x - 7 = 0$ for $x$. 2. **Write the equation:** $$2x - 7 = 0$$ 3. **Isolate the variable term:** Add 7 to both sides: $$2x - 7 + 7 = 0 + 7$$ $$2x = 7$$ 4. **Solve for $x$ by dividing both sides by 2:** $$\frac{\cancel{2}x}{\cancel{2}} = \frac{7}{2}$$ $$x = \frac{7}{2}$$ 5. **Final answer:** $$x = 3.5$$ This means the value of $x$ that satisfies the equation is 3.5.