Solve the equation for x.

Question

3(4x − 12) = 84
Responses
A 44
B 1010
C 1212
D 15

Answer 1

To solve the equation for x, perform the following steps:

3(4x − 12) = 84

First, distribute the 3 into the parentheses:

3 * 4x - 3 * 12 = 84
12x - 36 = 84

Next, add 36 to both sides to isolate the term with x on one side:

12x - 36 + 36 = 84 + 36
12x = 120

Now, divide both sides by 12 to solve for x:

12x / 12 = 120 / 12
x = 10

The solution for x is 10, which corresponds to option B.