Question

Solve 23(x −6)=14
(1 point)
Responses

−15
negative 15

27
27

15
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:
\[
x = \frac{152}{23}
\]
\[
x = 6.61 \text{ (approximately)}
\]

None of the provided options (\(-15\), \(27\), \(15\), and \(-27\)) match the solution. The equation can be double-checked:

If you need an integer solution, re-evaluating the equation might reveal if an error was made, or if there's an expectation for rounding or estimation in the options provided. However, based on the calculations above, \(x \approx 6.61\) is the result.

Please confirm any further parameters or clarifications related to the given choices.