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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Given an equation, adding the same number to both sides of the equation yields an equivalent equation.

If $a = b,$ then $a + c = b + c.$

The Addition 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. $\begin{aligned} x-3&=5\\ x-3\textcolor{blue}{\,+{\,3}}&=5\textcolor{blue}{\,+{\,3}}\\ x&=8 \end{aligned}$ To isolate the variable, the subtraction of $3$ can be eliminated by adding $3$ to both sides of the equation, since addition is the inverse operation of subtraction.