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Find the missing number so that the equation has no solutions. \newline5x−12=____x−55x - 12 = \_\_\_\_x - 5

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Q. Find the missing number so that the equation has no solutions. \newline5x−12=____x−55x - 12 = \_\_\_\_x - 5
  1. Equation with No Solutions: When does an equation have no solutions?\newlineAn equation has no solutions when the variables on both sides have the same coefficient, but the constants are different.
  2. Analysis of Given Equation: Let's analyze the given equation: 5x - 12 = ____x - 5. For the equation to have no solutions, the coefficient of xx on both sides must be the same, but the constants must be different.
  3. Coefficient of x Comparison: The coefficient of xx on the left side is 55. To have no solutions, the missing number, which is the coefficient of xx on the right side, should also be 55.
  4. Constant Check: Now, let's check the constants on both sides.\newlineOn the left side, the constant is −12-12, and on the right side, it is −5-5.\newlineSince −12-12 is not equal to −5-5, the condition for no solutions is satisfied.

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