Question

Which property justifies this statement?

Answer 1

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:

$a + b = c$ can be rewritten as:

$(a + b) + d = c + d$

If we have:

$x = -6$

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

$x + 6 = -6 + 6x + 6 = 0$

Proving that the statement is true.

Answer:

Addition Property of Equality