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{{ printedBook.courseTrack.name }} {{ printedBook.name }} 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.