Question

Solve the equation: 2(4x - 12) = 12.

Answer 1

To solve the equation 2(4x - 12) = 12, we distribute the 2, add 24 to both sides, and then divide by 8, resulting in the solution x = 4.5.

Step-by-step explanation:

To solve the equation 2(4x - 12) = 12, first distribute the 2 into the parentheses:

2 * 4x - 2 * 12 = 12

8x - 24 = 12

Now add 24 to both sides to isolate the term with the variable:

8x - 24 + 24 = 12 + 24

8x = 36

Finally, divide both sides by 8 to solve for x:

8x / 8 = 36 / 8

x = 4.5

So, x equals 4.5.