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Find the missing number so that the equation has no solutions.\newline−4x−4=____x+8-4x - 4 = \_\_\_\_x + 8

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Full solution

Q. Find the missing number so that the equation has no solutions.\newline−4x−4=____x+8-4x - 4 = \_\_\_\_x + 8
  1. Identify No Solutions: Analyze the equation for no solutions. An equation has no solutions when the variables on both sides have the same coefficient, but the constants are different, making the two sides of the equation never equal.
  2. Compare Coefficients of xx: Compare the coefficients of xx on both sides.\newlineThe coefficient of xx on the left side is −4-4. For the equation to have no solutions, the coefficient of xx on the right side must also be −4-4.
  3. Check Constants: Check the constants on both sides.\newlineThe constant on the left side is −4-4, and the constant on the right side is +8+8. Since these constants are different, if the coefficients of xx are the same, the equation will have no solutions.
  4. Fill in Missing Number: Fill in the missing number.\newlineThe missing number for the coefficient of xx on the right side is −4-4.

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