Solve 23(x −6)=14

Question

2
3
(
𝑥

−
6
)
=
14
(1 point)
Responses

−15
−
15
negative 15

−27
−
27
negative 27

27
27

15..

Answer 1

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

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

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 \( x \): \[ x = \frac{152}{23} \] \[ x = 6.608695652173913 \]

Since we are looking for an integer response or the closest integer options, calculate \( \frac{152}{23} \): \[ x \approx 6.6087 \text{ (which is not among the options)} \]

Now checking the provided options, it seems the response choices don't quite fit the calculation. Can you please confirm the equation or if there were intended values? The numerical results we calculated are valid, but the range of options might need adjustment to match. In terms of integers and closest, 15 could be a point of consideration if this equation had coefficients adjusted or miscommunicated.