Question

Solve 23(x −6)=14
(1 point)
Responses

−27
negative 27

27
27

−15
negative 15

15

Answer 1

To solve the equation \( 23(x - 6) = 14 \), follow these steps:

1. Distribute \( 23 \) on the left side:
\[
23x - 138 = 14
\]

2. Add \( 138 \) to both sides:
\[
23x = 14 + 138
\]
\[
23x = 152
\]

3. Divide both sides by \( 23 \):
\[
x = \frac{152}{23}
\]

4. Simplifying \( \frac{152}{23} \):
\[
x = 6.6087 \text{ (approximately)}
\]

Since none of the options match the calculated value, it seems like there might be a misunderstanding with the setup of the problem or the options provided.

Let’s quickly check the numeric values against your provided options:

- \( x - 6 = \frac{14}{23} \)
- Therefore, \( x = \frac{14}{23} + 6 \)

None of your options match this exact answer.

But if you're looking for other computations based on simple algebraic transformation and provided options of -27, 27, -15, and 15:

If you are mistaken about the equation \( 23(x + 6) = 14 \) or another one, please clarify!