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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Given an equation, multiplying each side of the equation by the same number yields an equivalent equation.

If $a=b,$ then $a×c=b×c.$

The Multiplication Property of Equality also holds true if $a,$ $b,$ and $c$ are complex numbers. This property is one of the Properties of Equality that can be used when solving equations. $x÷4x÷4×4x =2=2×4=8 $ To isolate the variable, the division by $4$ can be eliminated by multiplying both sides of the equation by $4,$ since multiplication is the inverse operation of division.