Properties of Equality

If a=b, then a+c=b+c

Addition Property

If a=b, then a-c=b-c

Subtraction property

If a=b, then a*c=b*c

Multiplication property

If a=b, then a/c=b/c

Division property 

a(b+c), then a(b+c)=ab+ac

Distributive property 

If a=b then a may be replaced by b in any expression or equation 

Substitution property

For any real number a, a=a, 5=5

Reflexive Property

If a=b, then b=a

Symmetric Property

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

Transitive property

If k=3, then 3=k

Symmetric property

If 2x=14, then x=7

Division property

10y=10y

Reflexive property

If 5x-1=-11, then -5x=-10

Addition property

If 10a=2b and 2b=c, then 10a=c

Transitive Property 

-7(n-4)=-7n+28

Distributive property

If 6y=24, then 6y-3=24-3

Subtraction property

If 10x+w=41 and w=1, then 10x+1=41

Substitution property

If m=-2, then 8m=-16

Multiplication property