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Find the missing number so that the equation has infinitely many solutions.\newline−3x−17=‾x−17-3x - 17 = \underline{\hspace{1cm}}x - 17

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Q. Find the missing number so that the equation has infinitely many solutions.\newline−3x−17=‾x−17-3x - 17 = \underline{\hspace{1cm}}x - 17
  1. Identify Equation: When an equation has infinitely many solutions, it means that both sides of the equation are identical. To find the missing number that makes the equation have infinitely many solutions, we need to make the coefficients of xx on both sides of the equation the same.
  2. Ensure Equal Coefficients: The given equation is -3x - 17 = ____x - 17. Since we want the equation to have infinitely many solutions, the coefficients of xx on both sides must be equal. The coefficient of xx on the left side is −3-3.
  3. Determine Missing Number: To make the equation have infinitely many solutions, the missing coefficient of xx on the right side must also be −3-3. Therefore, the missing number is −3-3.

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