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Subtraction Property of Equality

Rule

Subtraction Property of Equality

Given an equation, subtracting the same number from each side of the equation yields an equivalent equation.

If a=b,a = b, then ac=bc.a - c = b - c.

The Subtraction Property of Equality also holds true if a,a, b,b, and cc are complex numbers. This property is one of the Properties of Equality that can be used when solving equations. x+2=7x+22=72x=5\begin{aligned} x+2&=7\\ x+2\textcolor{blue}{\,-{\,2}}&=7\textcolor{blue}{\,-{\,2}}\\ x&=5 \end{aligned} To isolate the variable, the addition of 22 can be eliminated by subtracting 22 from both sides of the equation, since subtraction is the inverse operation of addition.