Question

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?
Step 1
Step 2
Step 3
Step 4

Answer 1

going from -4x + 8 = 24
to -4x = 16,
they *subtracted* 8 from both sides. which property of equality is this?

Answer 2

Subtraction Property of Equality.

Answer 3

good

so looking back at the original steps 3 and 4

3 −4x + 8 = 24 Subtraction Property of Equality
4 −4x = 16 Addition Property of Equality

they actually used the subtraction property of equality to go from step 3 to 4, so step 4 should actually be subtraction property of equality, making step 4 w/ the incorrect justification, and thus the solution to the problem.

Answer 4

Thanks for helping!