1. **State the problem:** Solve the linear equation $$11 = 3x - 4$$ for $$x$$. 2. **Add 4 to both sides** to isolate the term with $$x$$: $$11 + 4 = 3x - 4 + 4$$ $$15 = 3x$$ 3. **Divide both sides by 3** to solve for $$x$$: $$\frac{15}{3} = \frac{3x}{3}$$ $$\cancel{\frac{15}{3}} = \cancel{\frac{3x}{3}}$$ $$5 = x$$ 4. **Final answer:** $$x = 5$$