1. **State the problem:** Simplify the expression $4(2x-1)+3(2x+5)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside. $$4(2x-1) = 4 \times 2x - 4 \times 1 = 8x - 4$$ $$3(2x+5) = 3 \times 2x + 3 \times 5 = 6x + 15$$ 3. **Rewrite the expression:** $$8x - 4 + 6x + 15$$ 4. **Combine like terms:** Add the $x$ terms and the constant terms separately. $$8x + 6x = 14x$$ $$-4 + 15 = 11$$ 5. **Final simplified expression:** $$14x + 11$$