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 Description  
 Addition Property of Equality:  Adding the same number to each side of an equation produces an equivalent expression.
Examples of Addition Property of Equality
Suppose we had the equation a = b. When we add the same number, say 3, to both sides of the equation, we still have a balanced equation:

a + 3 = b + 3.

To look at it in a different way, consider the following balance scale.



The scale is balanced with 1 box on each side. If we place 3 balls on each side of the scale, the scale remains balanced.



We could write this mathematically, using x to represent the weight of one box as:

x = x
x + 3 = x + 3.

Non-Examples
Adding different numbers will not produce a balanced equation.



Here we added 5 balls to one side of the scale and only 3 balls to the other side. As a result, the scale becomes unbalanced.