Transitive Property of Equality

The Transitive Property of Equality is a little more difficult than the other two, although still very simple. The important thing that you have to remember about the transitive property is that the order in which the terms are stated is very important. The Transitive Property of Equality states that:

If a=b and b=c, then a=b

Another example, perhaps a little more applicable would be:

If 5x+4=4x+8 and 4x+8=24, then 5x+4=24

As I said before, order is important. If you look at the example it fits into the correct order.
The 'a' term is the '5x+4'. The 'b' term is the '4x+8'. And lastly, the 'c' term would be the '24'. The example above fits neatly into format.

If |5x+4| = |4x+8| and |4x+8| = |24|, then |5x+4| = |24|.
If |   a   | = |    b  | and |   b   | = | c  |, then |   a   | = | c |.

See how that works?
If the equation had been:

If |5x+4| = |4x+8| and |24| = |4x+8|, then |5x+4| = |24|.
   |   a   | = |   b   | and | c  | = |  b    |, then |   a   | = |24|.

It would not be Transitive. See how that came out as:

If a=b and c=b, then a=c. Which is incorrect. Do you see the difference between that and
If a=b and b=c, then a=c

If you have any questions, comment!