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Find the missing number so that the equation has infinitely many solutions.\newline−5x−14=‾x−14-5x - 14 = \underline{\hspace{1cm}}x - 14

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Q. Find the missing number so that the equation has infinitely many solutions.\newline−5x−14=‾x−14-5x - 14 = \underline{\hspace{1cm}}x - 14
  1. Identify Solutions: Identify when the equation has infinitely many solutions. An equation has infinitely many solutions when both sides of the equation are identical. This means that the coefficients of xx and the constants on both sides must be the same.
  2. Compare Coefficients: Compare the coefficients of xx on both sides of the equation.\newlineThe left side of the equation has a coefficient of −5-5 for xx. For the equation to have infinitely many solutions, the missing coefficient on the right side must also be −5-5.
  3. Verify Constants: Verify that the constants on both sides of the equation are the same.\newlineThe constants on both sides of the equation are −14-14. Since they are already the same, we do not need to change anything about the constants.
  4. Conclude Missing Number: Conclude the missing number.\newlineThe missing number is the coefficient of xx on the right side of the equation that makes it identical to the left side. Therefore, the missing number is −5-5.

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