SOLUTION: The question begins: "State the property that justifies each step when simplifying the expression": 3x + (5 + 6x) = 3x + (6x + 5) __________ = (3x + 6x) + 5

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: The question begins: "State the property that justifies each step when simplifying the expression": 3x + (5 + 6x) = 3x + (6x + 5) __________ = (3x + 6x) + 5       Log On

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Question 95214: The question begins: "State the property that justifies each step when simplifying the expression":
3x + (5 + 6x) = 3x + (6x + 5) __________
= (3x + 6x) + 5 __________
= (3 + 6)x + 5 __________
= 9x + 5 __________
They all seem to be the associative property of addition, but that seems too easy. Any clue?
Answer by jim_thompson5910(28593) About Me  (Show Source):
You can put this solution on YOUR website!
3x+%2B+%285+%2B+6x%29+=+3x+%2B+%286x+%2B+5%29 Commutative property of addition (the terms 5 and 6x switched places)

= %283x+%2B+6x%29+%2B+5 Associative property of addition (the parenthesis was moved from the group 6x%2B5 to 3x%2B6x)


= %283+%2B+6%29x+%2B+5 Distributive property (the x term was factored out. Notice if you distribute, you get 3x%2B6x again)


=9x%2B5 None of the four properties (Associative, Commutative, Distributive, or Additive Identity ) aren't in use in this step. You are simply adding 3 and 6 to get 9