To solve the equation \( 4x - 12 = 20 \), you can follow the steps outlined, but the specific statement you referenced, \( \frac{4x}{4} = \frac{32}{4} \), appears to be a misinterpretation in the context of solving the equation.
Here is a clearer breakdown of how to solve \( 4x - 12 = 20 \) step by step:
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Add 12 to both sides to isolate the term with \( x \): \[ 4x - 12 + 12 = 20 + 12 \] which simplifies to: \[ 4x = 32 \]
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Divide both sides by 4 to solve for \( x \): \[ \frac{4x}{4} = \frac{32}{4} \] which simplifies to: \[ x = 8 \]
So, the correct answer among the choices you provided would be:
- Dividing both sides by 4 isolates the variable.
Thus, \( \frac{4x}{4} = \frac{32}{4} \) effectively isolates the variable \( x \).
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