Question

Which of the following shows the equation below after it has been simplified?

3(4x – 3) = 15
A)12x + 3 = 15
B)12x – 3 = 15
С)12x + 9 = 15
D)12x - 9 = 15

Answer 1

The simplified form of the equation 3(4x - 3) = 15 is 12x - 9 = 15, which corresponds to option D).

Step-by-step explanation:

The equation to simplify is 3(4x - 3) = 15. To simplify this equation, we should distribute the 3 across the terms inside the parentheses. This means multiplying 3 by both 4x and -3. The result is:

3 × 4x = 12x

3 × -3 = -9

Now, putting these together we get:

12x - 9 = 15

This matches option D). Thus, the simplified equation is 12x - 9 = 15.