# Algebraic Properties of Equality

 Property Definition Example Reflexive For all a, a=a Symmetric If a = b, then b = a Transitive If a = b & b = c, then a = c If 8 = (4)(2) and (4)(2) = (2)(4), then 8 = (2)(4) Substitution If a = b, then one can replace a with b. ${\displaystyle x-6=14\, Subtraction You can subtract one number from both s ${\displaystyle x+6-6=14-6\,}$ ${\displaystyle x=8\,}$ Multiplication You can multiply both ${\displaystyle x=108\,}$ Division You can divide both sides of ${\displaystyle x=3\,}$