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Find the missing number so that the equation has infinitely many solutions. \newline____x−13=−2x−13\_\_\_\_x - 13 = -2x - 13

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Q. Find the missing number so that the equation has infinitely many solutions. \newline____x−13=−2x−13\_\_\_\_x - 13 = -2x - 13
  1. Identify Equation: To determine the missing number for the equation to have infinitely many solutions, we need to make the left-hand side (LHS) and the right-hand side (RHS) of the equation identical.____x - 13 = -2x - 13
  2. Ensure Equal Coefficients: For the equation to have infinitely many solutions, the coefficients of xx on both sides must be equal, and the constant terms must also be equal.\newlineSince the constant terms are already equal (−13-13 on both sides), we only need to focus on making the coefficients of xx equal.
  3. Determine Missing Number: The coefficient of xx on the RHS is −2-2. To have infinitely many solutions, the coefficient of xx on the LHS must also be −2-2. Therefore, the missing number is −2-2. __x−13=−2x−13\_\_x - 13 = -2x - 13 becomes −2x−13=−2x−13-2x - 13 = -2x - 13

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