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Consider this equation:

4(3x−2)=−24


Correctly order the steps used to solve this equation

1 answer

To solve the equation \(4(3x−2)=−24\), we follow these steps in order:

  1. Distribute the 4 on the left side of the equation: \[ 4 \cdot 3x - 4 \cdot 2 = -24 \quad \Rightarrow \quad 12x - 8 = -24 \]

  2. Add 8 to both sides to isolate the term with \(x\): \[ 12x - 8 + 8 = -24 + 8 \quad \Rightarrow \quad 12x = -16 \]

  3. Divide both sides by 12 to solve for \(x\): \[ \frac{12x}{12} = \frac{-16}{12} \quad \Rightarrow \quad x = -\frac{4}{3} \]

So the correctly ordered steps are:

  1. Distribute the 4.
  2. Add 8 to both sides.
  3. Divide by 12.