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Rule

The Addition Property of Equality states that adding the same number to each side of an equation yields an equivalent equation.

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

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

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.

The Addition Property of Equality also holds true if $a,$ $b,$ and $c$ are complex numbers.