Consider this equation:

Question

4(3x−2)=−24


Correctly order the steps used to solve this equation.

(1 point)
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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

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 2

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 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.