In previous articles, we have talked about what an algebraic expression is and how to get the numerical value of algebraic expressions. Today, we will cover equivalent expressions.

Equivalent expressions are two or more algebraic expressions that represent the same value. They may have a different structure, but their numerical value will be the same.

**For example, in the following equation both sides represent the same quantity:**

$9X=3X+6X$

Below is another example with 2 variables. By simplifying the expressions on both sides of the equation, we can work out that on both we have $2X-3Y+5$ and therefore the expressions are equivalent.

$2X-3Y+5=X+X-2Y+10-5-Y$