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Rule

# Division Property of Equality

The Division Property of Equality states that dividing each side of an equation by the same number yields an equivalent equation.

If $a = b,$ then $a \div c = b \div c.$

This is one of the Properties of Equality that can be used when solving equations.

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.

The Division Property of Equality also holds true if $a,$ $b,$ and $c$ are complex numbers as long as $c\neq0.$