Question 242366
try this link <a href = "http://www.jamesbrennan.org/algebra/intro%20to%20algebra/addition_principle.htm" target = "_blank">Addition Principle</a>


The principle allow you to move terms from one side of the equation to another.


The principle states that if you add the same amount to both sides of an equation, then the equality remains the same.


For example:


5 = 5


5 + 15 = 5 + 15 becomes 20 = 20


The numbers changed but the equality is preserved because 20 does equal 20.


You can use this principle to move things around.


your problem is:


s - 29 = 0


Add 29 to both sides of this equation.


you get:


x - 29 + 29 = 0 + 29


combine like terms and the equation becomes:


x = 29


by adding 29 to both sides of your equation, you allow the 29 to disappear from the left side of the equation because -29 and + 29 equal 0.


you can do the same thing with multiplication and division and exponentiation and roots which you may or may not have gotten into yet.


the principle is the same.


doing the same thing to to both sides of the equation preserves the equality.


suppose your equation is x + y = 62


you want to move the x to the right side of the equation.


you subtract x from both sides of the equation to get:


x - x + y = 62 - x


you combine like terms to get:


y = 62 - x


you just moved the x from the left side of the equation to the right side of the equation by using the principle of subtraction.


the principle of subtraction works the same way as the principle of addition.


here's another one.


you have x - 29 = 33


you want to solve for x which means the 29 has to be moved from the left side of the equation to the right side.


you add 29 to both sides of the equation.


x - 29 + 29 = 33 + 29


combine like terms to get:


x = 62


works every time.