Keisha 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 Associative property of multiplication 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?
Mathematics · College · Thu Feb 04 2021
Answered on
Given the equation:
4x - 2x + 8 = 6(x + 4)
Solve the equation.
Solution:
In order to solve the equation, we simply needed to distribute first 6 to each value inside the parenthesis, then combine similar terms.
4x - 2x + 8 = 6(x + 4)
2x + 8 = 6x + 24
Transpose 2x and 8 to the other side of the equation, hence, it must be taken to note that in transposing a number the sign changes.
= 6x + 24 - 2x - 8
= 4x - 16
Final answer:
= 4x - 16