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Find the missing number so that the equation has infinitely many solutions.\newline____x+15=5x+15\_\_\_\_x + 15 = 5x + 15

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline____x+15=5x+15\_\_\_\_x + 15 = 5x + 15
  1. Identify Equation: To determine the missing number that will make the equation have infinitely many solutions, we need to make the left side of the equation identical to the right side. The equation is ____x + 15 = 5x + 15.
  2. Equal Coefficients and Constants: 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. Ensure Coefficients Match: Since the constant terms on both sides are already equal (both are +15+15), we only need to make sure that the coefficients of xx are the same on both sides.
  4. Determine Missing Coefficient: The coefficient of xx on the right side of the equation is 55. Therefore, the missing coefficient on the left side must also be 55 for the equation to have infinitely many solutions.

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