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Ms. Wilson is solving the equation 23x−7=5 for x. Her steps are as follows: 23x−7=5 Step 1: 23x−7+7=5+7 Step 2: 23x=12 Step 3: (23)(23x)=12(23) Step 4: x=8 Ms. Wilson made a mistake in Response area. The correct answer to this problem is Response area. x=36Step 1Step 2x=12No mistakes were made.x=18Step 3Step 4x=−18

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Let's go through Ms. Wilson's steps one by one to find the correct solution to the equation \( 23x - 7 = 5 \).

  1. Starting equation: \[ 23x - 7 = 5 \]

  2. Step 1: Add 7 to both sides: \[ 23x - 7 + 7 = 5 + 7 \] This simplifies to: \[ 23x = 12 \]

  3. Step 2: Now that we have \( 23x = 12 \), Ms. Wilson tries to simplify this further. However, her next steps seem incorrect because she incorrectly multiplied both sides by 23.

    To find x, we should divide both sides by 23: \[ x = \frac{12}{23} \]

  4. Conclusion: The solution is: \[ x = \frac{12}{23} \]

Given the options you provided:

  • \( x = 36 \)
  • \( x = 12 \)
  • No mistakes were made.
  • \( x = 18 \)
  • \( x = -18 \)

It appears Ms. Wilson made a mistake in Step 3 when she multiplied both sides incorrectly. The correct solution is \( \frac{12}{23} \), which does not match any of the given answer choices. Therefore, the most accurate assessment is that mistakes were made in solving the equation.

If you'd like to express the final answer in a different context, please let me know!