Ask a New Question
Menu

Consider this equation:

4(3x−2)=−24

Determine the value of x.

(1 point)
Responses

x=−6

x=−4

x=−4/3

x=8/3

1 answer

To solve the equation \(4(3x - 2) = -24\), follow these steps:

  1. Distribute the \(4\) on the left side: \[ 4 \cdot 3x - 4 \cdot 2 = -24 \] This simplifies to: \[ 12x - 8 = -24 \]

  2. Next, add \(8\) to both sides to isolate the term with \(x\): \[ 12x - 8 + 8 = -24 + 8 \] This simplifies to: \[ 12x = -16 \]

  3. Now, divide both sides by \(12\): \[ x = \frac{-16}{12} \] Simplifying \(\frac{-16}{12}\) gives: \[ x = \frac{-4}{3} \]

Thus, the value of \(x\) is \(x = -\frac{4}{3}\).

The correct response is: x = -4/3.