1. **State the problem:** Solve the equation $7x - 12 = 30$ for $x$. 2. **Write the formula and rules:** To solve for $x$, isolate $x$ by performing inverse operations. Remember, whatever you do to one side of the equation, you must do to the other side to keep it balanced. 3. **Add 12 to both sides:** $$7x - 12 + 12 = 30 + 12$$ $$7x = 42$$ 4. **Divide both sides by 7 to isolate $x$:** $$\frac{\cancel{7}x}{\cancel{7}} = \frac{42}{7}$$ $$x = 6$$ 5. **Final answer:** $x = 6$. This means that when $x$ is 6, the original equation $7x - 12 = 30$ holds true.