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Find the missing number so that the equation has infinitely many solutions.\newline____x+16=2x+16\_\_\_\_x + 16 = 2x + 16

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline____x+16=2x+16\_\_\_\_x + 16 = 2x + 16
  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 + 16 = 2x + 16
  2. Ensure Equality: 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 (16=1616 = 16), we only need to focus on making the coefficients of xx equal.
  3. Make Coefficients Equal: To make the coefficients of xx equal, the missing number must be the same as the coefficient of xx on the RHS of the equation, which is 22.\newlineTherefore, the missing number is 22.

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