Question

Use the Distributive Property to solve the equation.

4(x-6) +2=6x-2
The solution of the equation is
(Type the value of x.)

Answer 1

To solve the equation using the Distributive Property, distribute 4 to both terms inside the parentheses, combine like terms, isolate the variable x, and solve for x.

Step-by-step explanation:

To solve the equation using the Distributive Property, we need to distribute the 4 to both terms inside the parentheses:

4(x-6) + 2 = 6x - 2

4*x - 4*6 + 2 = 6x - 2

4x - 24 + 2 = 6x - 2

Next, we can combine like terms:

4x - 22 = 6x - 2

Now, to isolate the variable x, we can subtract 4x and add 2 to both sides:

4x - 4x - 22 + 2 = 6x - 4x - 2 + 2

-22 = 2x

Finally, divide both sides by 2:

-22/2 = 2x/2

-11 = x

So, the solution to the equation is x = -11.

Learn more about Solving equations using the Distributive Property