Is 3x+12-2x equivalent to x +12? Use two properties of operations to justify your answer.
2 answers:
Answer:
Yes, x + 12
Step-by-step explanation:
Simplify the following:
3 x - 2 x + 12
Grouping like terms, 3 x - 2 x + 12 = (3 x - 2 x) + 12:
(3 x - 2 x) + 12
3 x - 2 x = x:
Answer: x + 12
Answer:
<em>Yes, it is.</em>
Step-by-step explanation:
3x + 12 - 2x =
Use the commutative property of addition to change the order of the addition.
= 12 + 3x - 2x
Use the distributive property of addition over multiplication in reverse (which is factoring).
= 12 + x(3 - 2)
Do the operation: 3 - 2 = 1
= 12 + x * 1
Simplify x * 1 to just x.
= 12 + x
Use the commutative property of addition.
= x + 12
There you have x + 12 from 3x + 12 - 2x by using properties and operations.
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