Question

Use the Distributive Property to solve the equation.

4(x-6)+8=6x-8
The solution of the equation is.
(Type the value of x.)

Answer 1

To solve the equation using the Distributive Property, distribute to each term inside the parentheses, combine like terms, isolate the variable, and solve for x.

Step-by-step explanation:

To solve the equation using the Distributive Property, you need to apply the property to each term inside the parentheses.

Let's distribute the 4 to both terms inside the parentheses: 4(x-6) becomes 4x - 24.

Now, the equation becomes 4x - 24 + 8 = 6x - 8.

Combine like terms: -16 = 2x - 8.

Next, isolate the variable by subtracting 2x from both sides: -2x - 16 = -8.

Finally, add 16 to both sides to solve for x: -2x = 8.

Divide both sides by -2:

x = -4.

Learn more about Solving equations using the Distributive Property