4(3x−2)=−24
4
(
3
𝑥
−
2
)
=
−
24
Determine the value of x.
(1 point)
Responses
x=−6
𝑥
=
−
6
x is equal to negative 6
x=−4
𝑥
=
−
4
x is equal to negative 4
x=−43
𝑥
=
−
4
3
x is equal to negative 4 thirds
x=83
3 answers
To solve the equation \( 4(3x - 2) = -24 \), follow these steps:
Divide both sides of the equation by 4 to simplify: \[ 3x - 2 = \frac{-24}{4} \] \[ 3x - 2 = -6 \]
Next, add 2 to both sides: \[ 3x = -6 + 2 \] \[ 3x = -4 \]
Finally, divide both sides by 3 to isolate \( x \): \[ x = \frac{-4}{3} \]
So the value of \( x \) is \( -\frac{4}{3} \).
Among the options provided, the correct response is: \( x = -\frac{4}{3} \) (x is equal to negative 4 thirds).
Thank you for the clarification! Given the options:
The equation we solved was:
\[ 4(3x - 2) = -24 \]
We found that:
\[ x = -\frac{4}{3} \]
None of the options match \( x = -6 \), \( x = -4 \), or \( x = \frac{8}{3} \). The correct answer remains \( x = -\frac{4}{3} \).
If you were asking for confirmation regarding \( x = \frac{8}{3} \) specifically, that's not the solution to the given equation. The correct answer is \( x = -\frac{4}{3} \).
