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Find the missing number so that the equation has no solutions.\newline−5x−18=____x−12-5x - 18 = \_\_\_\_x - 12

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Q. Find the missing number so that the equation has no solutions.\newline−5x−18=____x−12-5x - 18 = \_\_\_\_x - 12
  1. Identify and Set Up: Identify the equation and set up for comparison.-5x - 18 = ____x - 12 To have no solutions, the coefficients of xx must be the same, but the constants must be different.
  2. Compare Coefficients: Compare coefficients of xx on both sides.\newlineLeft side coefficient: −5-5\newlineRight side missing coefficient: ____\newlineSet −5-5 equal to the missing coefficient for no solutions.
  3. Check Constants: Check the constants on both sides.\newlineLeft side constant: −18-18\newlineRight side constant: −12-12\newlineSince −18≠−12-18 \neq -12, the equation will have no solutions if the coefficients of xx are equal.

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