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Find the missing number so that the equation has infinitely many solutions.\newline−2x+‾=−2x+20-2x + \underline{\hspace{1cm}} = -2x + 20

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Q. Find the missing number so that the equation has infinitely many solutions.\newline−2x+‾=−2x+20-2x + \underline{\hspace{1cm}} = -2x + 20
  1. Identify Equation Pattern: 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 to be identical to the right side.
  2. Determine Missing Number: The equation is -2x + ____ = -2x + 20. Since we want the equation to have infinitely many solutions, the missing number should make the constant term on the left side equal to the constant term on the right side, which is 2020.
  3. Verify Infinitely Many Solutions: Therefore, the missing number is 2020, because −2x+20=−2x+20-2x + 20 = -2x + 20. This equation is true for all values of xx, which means it has infinitely many solutions.

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