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Find the missing number so that the equation has infinitely many solutions.\newline3x+5=3x+‾3x + 5 = 3x + \underline{\hspace{1cm}}

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Q. Find the missing number so that the equation has infinitely many solutions.\newline3x+5=3x+‾3x + 5 = 3x + \underline{\hspace{1cm}}
  1. Identify Identical Equations: When an equation has infinitely many solutions, it means that both sides of the equation are identical for all values of the variable. In this case, we want the left side of the equation, 3x+53x + 5, to be exactly the same as the right side, 3x+____3x + \_\_\_\_. To achieve this, the missing number must be the same as the constant term on the left side of the equation, which is 55.
  2. Determine Missing Number: Therefore, the missing number in the equation 3x+5=3x+_3x + 5 = 3x + \_ should be 55, making the equation 3x+5=3x+53x + 5 = 3x + 5. This equation is true for all values of xx, which means it has infinitely many solutions.

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