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Sherina wrote and solved the equation.x−56=230 x−56−56=230−56 x=174 What was Sherina's error?Note: On the Sample Work, this is a multiple choice question, but on the test, you will be asked to explain a mistake that you find and how to correct it in complete sentences.NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question.(1 point)ResponsesSherina only needed to subtract 56 from 230.Sherina only needed to subtract 56 from 230.Sherina made a subtraction error when subtracting 56 from 230.Sherina made a subtraction error when subtracting 56 from 230.Sherina's work is correct.Sherina's work is correct.Sherina should have added 56 to both sides of the equation.Sherina should have added 56 to both sides of the equation.Skip to navigation

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Sherina's error lies in her approach to solving the equation \( x - 56 = 230 \). She should have added 56 to both sides of the equation instead of subtracting it. The correct steps are as follows:

  1. Start with the original equation: \[ x - 56 = 230 \]
  2. To isolate \( x \), add 56 to both sides: \[ x - 56 + 56 = 230 + 56 \]
  3. This simplifies to: \[ x = 286 \]

So, Sherina's mistake was in the operation she applied to both sides of the equation; her solution of \( x = 174 \) is incorrect. The correct solution should be \( x = 286 \). To summarize, she should have added 56 to both sides of the equation to solve for \( x \) correctly.