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Berniece solved the following equation:

4x − 2x + 8 = 6(x + 4)


Step Work Justification
1 2x + 8 = 6(x + 4) Combine like terms
2 2x + 8 = 6x + 24 Distributive property
3 −4x + 8 = 24 Subtraction property of equality
4 −4x = 16 Addition property of equality
5 x = −4 Division property of equality


Which step has an incorrect justification? (Make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)

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MrGumby

Step 4 is incorrect.

This is technically another example of the subtraction property of inequality. This is because we are subtracting 8 from both sides to get the 8 to cancel and the 24 to go down to 16. This is not addition and should not be justified as such.

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