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Find the missing number so that the equation has infinitely many solutions. \newline____x−14=−5x−14\_\_\_\_x - 14 = -5x - 14

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline____x−14=−5x−14\_\_\_\_x - 14 = -5x - 14
  1. Identify Equation: To determine the missing number for the equation to have infinitely many solutions, we need to make the left side of the equation identical to the right side. The equation is ____x - 14 = -5x - 14.
  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.
  3. Focus on Coefficients: Since the constant terms on both sides are already equal −14=−14-14 = -14, we only need to focus on making the coefficients of xx equal. The coefficient of xx on the right side is −5-5.
  4. Make Coefficients Equal: To make the coefficients of xx equal, the missing number must be −5-5, so that the coefficient of xx on the left side is also −5-5.

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