Consider this equation:

Question

4(3x−2)=−24
4
(
3
𝑥
−
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.

​12x−8 − 8=−96​ − 8
​
12
𝑥
−
8

−

8
=
−
96
​

−

8

12x=−104
12
𝑥
=
−
104

Divide both sides of the equation by 12.
Distribute 4 on both sides of the equation.

4⋅3x−4⋅2=4⋅−24
4
⋅
3
𝑥
−
4
⋅
2
=
4
⋅
−
24

12x−8=−96
12
𝑥
−
8
=
−
96

Add 8 from both sides of the equation.

​12x−8 +8=−96​ +8
​
12
𝑥
−
8

+
8
=
−
96
​

+
8

12x=−88
12
𝑥
=
−
88

Subtract 8 from both sides of the equation.

12x−8 − 8=−2

Answer 1

To correctly order the steps used to solve the equation \(4(3x - 2) = -24\), we will arrange them as follows:

1. Distribute 4 on both sides of the equation. \[ 4 \cdot 3x - 4 \cdot 2 = 4 \cdot -24 \] which simplifies to: \[ 12x - 8 = -96 \]

2. Add 8 to both sides of the equation. \[ 12x - 8 + 8 = -96 + 8 \] which simplifies to: \[ 12x = -88 \]

3. Divide both sides of the equation by 12. \[ \frac{12x}{12} = \frac{-88}{12} \] which simplifies to: \[ x = -\frac{88}{12} \text{ or } x = -\frac{22}{3} \]

Thus, the order of the steps is:

Step 1: Distribute 4 on both sides of the equation.
Step 2: Add 8 to both sides of the equation.
Step 3: Divide both sides of the equation by 12.