Which property justifies this statement?

if x=−6x=−6, then x+6=0x+6=0.

addition property of equality

division property of equality

reflexive property of equality

multiplication property of equality

For this case we have:

By definition, the Addition Property of Equality establishes that an equality is not altered as long as the same number is added on both sides of it. That is to say:

can be rewritten as:

If we have:

We can add 6 to both sides of the equation, obtaining the following:

Proving that the statement is true.

Addition Property of Equality

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