Properties of Equality for Real Numbers (Proofs Stuff lol)

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 x c = b x c

Division Property

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

Substitution Property

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

Distributive Property

a(b+c) = ab +ac

Transitive Property

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

Reflexive Property

a = a

Symmetric Property

If a = b, then b = a