which property is illustrated by the following? 8x-17=51 8x=68

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which property is illustrated by the following? 8x-17=51 8x=68

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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addition b/c 51+17=68
associative because you can do this:
associative is (a+b)+c=a+(b+c)

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or (ab)c=a(bc)
8x-17+17=51+17 8x=68
Sorry I was trying to split it up and show it could be the same on both sides
or maybe its inverse property on one side and addition property on the other side
8x-17-51=0 same as 8x-68=0
a-b-c (a-b)-c NOT the same thing as a-(b-c) so not associative.
Additive is not a property though: http://mathforum.org/dr.math/faq/faq.property.glossary.html
You know what this is? It's the property of equality. They are equal.
8x-17=51 is simply equivalent to: 8x=68 Therefore it's an illustration of the property of equality.
I at first thought it could be associative because you can break 68 up into 51+17, but it is not correct.
To be clear, this is: The symmetric property of equality, which says that if a = b, then b = a.

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