Final answer:
To solve the equation using the distributive property, multiply 5 by each term inside the parentheses, subtract 20 from both sides, and then divide by 30 to solve for x, resulting in x = 2.
Step-by-step explanation:
To solve the equation 5(6x+4)=80 using the distributive property, first, multiply 5 by each term inside the parentheses: 5×6x + 5×4. This simplifies to 30x + 20. Next, our equation looks like 30x + 20 = 80.
Subtract 20 from both sides to get 30x = 60. Then, divide both sides by 30 to solve for x. The result is x = 2. This is the solution to the original equation using the distributive property.