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Find the missing number so that the equation has infinitely many solutions. \newline4x+____=4x+24x + \_\_\_\_ = 4x + 2

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions. \newline4x+____=4x+24x + \_\_\_\_ = 4x + 2
  1. Identify Equation: 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 4x+____=4x+24x + \_\_\_\_ = 4x + 2. Since we want the equation to have infinitely many solutions, the missing number should be such that the constant term on the left side is the same as the constant term on the right side, which is 22.
  3. Verify Solution: Therefore, the missing number is 22, because adding 22 to 4x4x on the left side will result in the same expression as on the right side, which is 4x+24x + 2.

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