1. **State the problem:** Solve the equation $5(3x-4)+11=12x$ for $x$. 2. **Apply the distributive property:** Multiply 5 by each term inside the parentheses. $$5 \times 3x = 15x$$ $$5 \times (-4) = -20$$ So the equation becomes: $$15x - 20 + 11 = 12x$$ 3. **Combine like terms on the left side:** $$15x - 9 = 12x$$ 4. **Isolate the variable terms on one side:** Subtract $12x$ from both sides. $$15x - 12x - 9 = \cancel{12x} - \cancel{12x}$$ $$3x - 9 = 0$$ 5. **Isolate $3x$ by adding 9 to both sides:** $$3x - 9 + 9 = 0 + 9$$ $$3x = 9$$ 6. **Solve for $x$ by dividing both sides by 3:** $$\frac{3x}{\cancel{3}} = \frac{9}{\cancel{3}}$$ $$x = 3$$ **Final answer:** $x = 3$