Consider this equation:

Question

4(3x−2)=−24

Determine the value of x.

(1 point)
Responses

x=−6

x=−4

x=−43

x=83

GPT-4o mini · Answer

To solve the equation $ 4(3x - 2) = -24 $, follow these steps: 1. Distribute the 4 on the left side: $$ 4 \cdot 3x - 4 \cdot 2 = -24 \implies 12x - 8 = -24 $$ 2. To isolate the term with $ x $, add 8 to both sides: $$ 12x - 8 + 8 = -24 + 8 \implies 12x = -16 $$ 3. Now, divide both sides by 12 to solve for $ x $: $$ x = \frac{-16}{12} = \frac{-4}{3} $$ Neither of the provided options matches $ \frac{-4}{3} $, suggesting a re-evaluation of your options may be necessary. The closest value in fraction form (or derived misinterpretation of negative) confirms no valid solutions. Final bided results after outlining: - **None of the responses:** ```plaintext x=−6 x=−4 x=−43 x=83 ``` Thus, not finding a valid present resolution amidst listed responses.