Benjamin solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 4x − 2x + 8 = 6x + 24 Combine like term

Question

Klio2033 [76]

3 years ago

7

Benjamin solved the following equation: 4x − 2x + 8 = 6(x + 4) Step Work Justification 1 4x − 2x + 8 = 6x + 24 Combine like term

s 2 2x + 8 = 6x + 24 Combine like terms 3 −4x + 8 = 24 Subtraction property of equality 4 −4x = 16 Subtraction property of equality 5 x = −4 Division property of equality Which step has an incorrect justification?

Mathematics

1 answer:

Finger [1] · Answer 1 · 2022-08-19T07:35:51+03:00

For this case we have the following expression:
4x - 2x + 8 = 6 (x + 4)
The first step is:
4x - 2x + 8 = 6x + 24
The first step is, correct.
However, the justification "Combine like terms" is NOT correct.
The correct justification is:
Distributive property of multiplication.
Answer:
A step that has an incorrect justification is:
Step 1