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Find the missing number so that the equation has infinitely many solutions.\newline____x−18=4x−18\_\_\_\_x - 18 = 4x - 18

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Q. Find the missing number so that the equation has infinitely many solutions.\newline____x−18=4x−18\_\_\_\_x - 18 = 4x - 18
  1. Identical Coefficients and Constants: To have infinitely many solutions, the two sides of the equation must be identical. This means that the coefficients of xx and the constant terms on both sides of the equation must be the same.
  2. Find Missing Coefficient: Given the equation ____x - 18 = 4x - 18, we need to find the missing coefficient of xx on the left side that will make the equation true for all values of xx.
  3. Ensure Coefficients Equality: For the equation to have infinitely many solutions, the coefficient of xx on the left side must be equal to the coefficient of xx on the right side. Therefore, the missing number must be 44.
  4. Confirm Infinite Solutions: We can check our solution by substituting the found coefficient back into the equation: 4x−18=4x−184x - 18 = 4x - 18. This results in an identity, confirming that the equation has infinitely many solutions with this coefficient.

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