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Find the missing number so that the equation has infinitely many solutions. \newline−3x−10=−3x+‾-3x - 10 = -3x + \underline{\hspace{1cm}}

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline−3x−10=−3x+‾-3x - 10 = -3x + \underline{\hspace{1cm}}
  1. Infinitely many solutions: When does this equation have infinitely many solutions? Infinitely many solutions occur when the both sides of the equation are identical.
  2. Identical sides: -3x - 10 = -3x + ____\newlineTo have infinitely many solutions, the constants on both sides must also be the same.
  3. Matching constants: The constant on the left side is −10-10. For the equation to have infinitely many solutions, the constant on the right side must also be −10-10.
  4. Determining missing number: Therefore, the missing number in the equation is −10-10. \newline−3x−10=−3x−10-3x - 10 = -3x - 10

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