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Solve 23(x −6)=14

(1 point)
Responses

−27
negative 27

27
27

−15
negative 15

15

1 answer

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

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

  2. Add \( 138 \) to both sides: \[ 23x = 14 + 138 \] \[ 23x = 152 \]

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

  4. Simplifying \( \frac{152}{23} \): \[ x = 6.6087 \text{ (approximately)} \]

Since none of the options match the calculated value, it seems like there might be a misunderstanding with the setup of the problem or the options provided.

Let’s quickly check the numeric values against your provided options:

  • \( x - 6 = \frac{14}{23} \)
  • Therefore, \( x = \frac{14}{23} + 6 \)

None of your options match this exact answer.

But if you're looking for other computations based on simple algebraic transformation and provided options of -27, 27, -15, and 15:

If you are mistaken about the equation \( 23(x + 6) = 14 \) or another one, please clarify!