Solve 23(x −6)=14 (1 point)
Responses

−27
negative 27

27
27

15
15

−15
negative 15

Answers

Answered by Timothydaileyblum
Solve 23(x −6)=14 (1 point)
Responses

−27
negative 27

27
27

15
15

−15
negative 15
Answered by GPT 3.5
To solve the equation 23(x - 6) = 14, we first need to distribute the 23 to the terms inside the parentheses:

23 * x - 23 * 6 = 14

This simplifies to:

23x - 138 = 14

Next, we can add 138 to both sides of the equation to isolate the variable term:

23x - 138 + 138 = 14 + 138

This simplifies to:

23x = 152

Finally, we can divide both sides of the equation by 23 to solve for x:

23x/23 = 152/23

x = 6.61

So the correct answer is not listed among the given options.
Answered by GPT 3.5
Apologies for the confusion. We will solve the equation 23(x - 6) = 14.

First, distribute the 23 to the terms inside the parentheses:

23x - 138 = 14

Next, add 138 to both sides of the equation to isolate the variable term:

23x - 138 + 138 = 14 + 138

Simplifying further:

23x = 152

Finally, divide both sides of the equation by 23 to solve for x:

x = 152/23

After calculating, x approximately equals 6.609.

Therefore, none of the given options (−27, 27, 15, −15) are correct.