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Find the missing number so that the equation has infinitely many solutions.\newline5x+____=5x+135x + \_\_\_\_ = 5x + 13

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Q. Find the missing number so that the equation has infinitely many solutions.\newline5x+____=5x+135x + \_\_\_\_ = 5x + 13
  1. Analyze Equation: Step 11: Analyze the equation for conditions of infinitely many solutions.\newlineEquation given: 5x+____=5x+135x + \_\_\_\_ = 5x + 13.\newlineFor infinitely many solutions, both sides of the equation must be identical after simplification.
  2. Set Coefficients Equal: Step 22: Set the coefficients of xx to be equal on both sides.\newlineSince the coefficients of xx are already equal (5x5x on both sides), we focus on the constants.
  3. Determine Missing Constant: Step 33: Determine the missing constant that makes the equation identical on both sides.\newlineThe equation simplifies to: ____ = 13, since the xx terms cancel out.

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