The addition property says that if you add the same number (or subtract the same number)from both sides of the eqaution you do not change the equation.
So to solve and equation you must get the unknown by itself, so you need to use this property, often along with the multiplication property.
For example if X -5 = 3 you can use addition property to add 5 to both sides:
X - 5 + 5 = 3 + 5
X = 8
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So if the addition property is just that adding something to both sides of an equation makes it stay equal, then this is exactly what it is used for. a = b, so a+ c = b +c
When applying distributive property to solve an equation, you multiply each term by term. For instance: a(b + c) = ab + ac
x-16=36
If x=y then x+z=y+z or If x=y and a=b then x+a=y+b The formal name for the property of equality that allows one to add the same quantity to both sides of an equation. This, along with the multiplicative property of equality, is one of the most commonly used properties for solving equations.
It depends on the equation that is being solved.