Final answer:
To solve the equation 18 = 3(2x-6) using the division property of equality, divide both sides by 3. Simplify and isolate the variable x. The solution is x = 6.
Step-by-step explanation:
To solve the equation 18 = 3(2x-6) using the division property of equality, we need to divide both sides of the equation by 3. This will help us isolate the variable x. By dividing, we get:
18/3 = (3(2x-6))/3
Simplifying, we have:
6 = 2x-6
Next, we add 6 to both sides of the equation to isolate the variable:
6 + 6 = 2x-6 + 6
Simplifying further:
12 = 2x
Finally, we divide both sides by 2 to solve for x:
12/2 = 2x/2
Therefore, the solution to the equation is:
x = 6