Question

Consider this equation:

4(3x−2)=−24


Correctly order the steps used to solve this equation.

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Step 3:





subtract 8 from both sides of the equation

divide both sides by 12

distribute 4 on both sides of the equation

add 8 from both sides of the equation

multiply both sides of the equation by 12

distribute 4 to the terms in the parentheses

Answer 1

Consider this equation:

4(3x−2)=−24


Determine the value of x.

(1 point)
Responses

x=−6
x is equal to negative 6

x=−4
x is equal to negative 4

x=−4/3
x is equal to negative 4 thirds

x=8/3
x is equal to 8 thirds

Answer 2

To solve the equation \(4(3x−2)=−24\), the correct order of the steps would be:

Step 1: **distribute 4 to the terms in the parentheses**
Step 2: **subtract 8 from both sides of the equation**
Step 3: **divide both sides by 12**

So the final ordering is:
1. distribute 4 to the terms in the parentheses
2. subtract 8 from both sides of the equation
3. divide both sides by 12

Answer 3

To determine the value of \(x\) in the equation \(4(3x−2)=−24\), let's solve it step by step.

1. Start with the equation:
\[
4(3x - 2) = -24
\]

2. Distribute the 4:
\[
12x - 8 = -24
\]

3. Add 8 to both sides:
\[
12x = -24 + 8
\]
\[
12x = -16
\]

4. Divide both sides by 12:
\[
x = -\frac{16}{12}
\]
Simplifying the fraction gives:
\[
x = -\frac{4}{3}
\]

Thus, the value of \(x\) is:
**x is equal to negative 4 thirds**.