Question

Solve 23(x −6)=14
(1 point)
Responses

15
15

27
27

−15
negative 15

−27

Answer 1

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

1. Distribute the 23:
\[
23x - 138 = 14
\]

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

3. Divide both sides by 23 to solve for \( x \):
\[
x = \frac{152}{23}
\]
\[
x = 6.6087 \quad (\text{approximately})
\]

Now let's turn to the given responses:
- 15
- 27
- -15
- -27

Since none of these responses are equivalent to approximately 6.6087, it appears there may be an error or misinterpretation in the options given.

**If you meant to check my solution, the correct answer involves a numerical approximation, which was not among the choices provided. Please confirm if there are any changes needed or if you want to provide new options.**