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Find the missing number so that the equation has infinitely many solutions. \newline−2x−15=‾x−15-2x - 15 = \underline{\hspace{1cm}}x - 15

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline−2x−15=‾x−15-2x - 15 = \underline{\hspace{1cm}}x - 15
  1. Identify Identical Expressions: To determine the missing number for the equation to have infinitely many solutions, we need to make the expressions on both sides of the equation identical. This means that the coefficients of xx and the constant terms on both sides must be the same.
  2. Ensure Coefficients Match: The given equation is -2x - 15 = ____x - 15. For the equation to have infinitely many solutions, the coefficient of xx on the left side must be the same as the coefficient of xx on the right side.
  3. Determine Missing Coefficient: Since the coefficient of xx on the left side is −2-2, the missing coefficient on the right side must also be −2-2 to ensure that the two sides of the equation are identical.
  4. Find Solution for Infinitely Many Solutions: Therefore, the missing number that makes the equation −2x−15=-2x - 15 = ____x−15x - 15 have infinitely many solutions is −2-2.

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