Question

Solve 23(x −6)=14(1 point)
Responses

15
15

−27
negative 27

−15
negative 15

27

Answer 1

15
15

−27
negative 27

−15
negative 15

27

its one of these

Answer 2

To solve the equation 23(x - 6) = 14, we can start by distributing the 23 on the left side:

23x - 138 = 14

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

23x = 152

Finally, we divide both sides by 23:

x = 6.61

Answer 3

To check which of the options satisfies the equation 23(x - 6) = 14, we can substitute each value for x and see which one makes the equation true.

Let's check each option:

For x = 15:
23(15 - 6) = 23(9) = 207
207 is not equal to 14, so x = 15 is not the solution.

For x = -27:
23(-27 - 6) = 23(-33) = -759
-759 is not equal to 14, so x = -27 is not the solution.

For x = -15:
23(-15 - 6) = 23(-21) = -483
-483 is not equal to 14, so x = -15 is not the solution.

For x = 27:
23(27 - 6) = 23(21) = 483
483 is equal to 14, so x = 27 is the solution.

Therefore, the correct solution is x = 27.