what is the commutive property of addition

Question

explain how the commutibe property of additions could help you solve this equation

-6x+10+8x=12-4x

Answer 1

The commutative property of addition states that we are able to add numbers in any order. In mathematical terms this is shown as a+b = b+a.

 

Here the CP allows you to rearrange the problem like this: -6x+8x+10=12-4x.

This way we are able to see that there are two of the same variable, x, on the left side of the equation and so we can add -6x+8x : 2x+10=12-4x

 

You would then want to manipulate the equation to get both X variables on one side and the numbers on the other in order to solve for x:

 

2x+4x=12-10 

6x=2

X=2/6

X=1/3