Final answer:
To solve the equation 3(x-6) + 6 = 5x - 6 using the Distributive Property, distribute 3 to both terms inside the parentheses, combine like terms, and solve for x.
Step-by-step explanation:
To solve the equation using the Distributive Property, we will distribute the 3 to both terms inside the parentheses. This gives us: 3x - 18 + 6 = 5x - 6. Next, we will combine like terms by adding 18 and 6 on the left side, and subtracting 5x from both sides. This gives us: 3x - 5x = 6 + 18 - 6. Simplifying further, we have: -2x = 18. Finally, we can solve for x by dividing both sides of the equation by -2, which gives us x = -9.
Learn more about Solving equations using the Distributive Property