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Symmetric Property of Equality

Rule

Symmetric Property of Equality

For all real numbers the order of the equality does not matter.

If a=b,a=b, then b=a.b=a.

This property can be used together with other Properties of Equality to solve equations or to isolate a variable and express it in terms of another variable. 4(3y+7)=x+2x+2=4(3y+7)x=4(3y+7)2\begin{aligned} 4(3y +7) &= x+2 \\ {\color{#0000FF}{x+2}} &= {\color{#0000FF}{4(3y +7)}} \\ x &= 4(3y +7)-2 \end{aligned} The Symmetric Property of Equality also holds true if aa and bb are complex numbers.