Given an equation, dividing each side of the equation by the same non-zero number yields an equivalent equation.
If a=b and c=0, then a÷c=b÷c.
The Division Property of Equality also holds true if a, b, and c are complex numbers as long as c=0. This property is one of the Properties of Equality that can be used when solving equations. 5x5x÷5x=10=10÷5=2 To isolate the variable, the multiplication by 5 can be eliminated by dividing both sides of the equation by 5, since division is the inverse operation of multiplication.