Question

Solve 23(x −6)=14 (1 point) Responses A. 27 B. −27 C. 15 D. −15

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:
\[
23x = 14 + 138
\]
\[
23x = 152
\]

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

4. Calculate the division:
\[
x = 6.6087 \quad (\text{approximately, this does not seem helpful yet})
\]

Now let's ensure we have computed correctly and simplify further:

Since \( 152 = 6 \times 23 + 10 \), thus \( x = 6 + \frac{10}{23} \) or more simply,

\[
x = 6 + 0.4348 \approx 6.4348
\]

Conventional options do not seem to cover any of these figures clearly.

However, I realize I missed a proper simplification directly from our first handle through a wrong turn!

Let's try explicitly realigning our focus;
From initial \( 23(x - 6) = 14 \)

\[
x - 6 = \frac{14}{23}
\]
\[
x = \frac{14}{23} + 6 = \frac{14 + 138}{23} = \frac{152}{23}
\]

Verifying this with approximate evaluation stays around \( 6.43 \).

There's no direct match with A, B, C, D. It appears I misinterpreted the values based on range.

Hence, confirming we resolve the hint straightly, matching responses may not provide adequacy.

Unintentional mix-up was deep-rooted.

If evaluating if pushed for integral focus:

Let's pursue rounded conclusions:

## Bringing focus towards evaluation:
The context was not exact, and if choices projected far from computation directly from options provided:

### There remains \( x\) distinct from integers; thus confirming A-D ranges resulted divergent from framed values.

Therefore, none of these constitute suitable fits, so your solution might remind you of original missetting on available trajectories. However, the dominant resolution lands iterative insights through that ratio of numerical jurisdictions living not within immediate integer realms.

**Final Answer: None of the options are valid. Proper \( x \) resolves around \( 6.43\).**