When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?

Question

Original Equation:3+(2+x)=5

First Step:(3+2)+x=5

Answer 1

Bianca's first step involves rearranging the terms of the left side of the equation from \( 3 + (2 + x) \) to \( (3 + 2) + x \). This step applies the Associative Property of Addition, which states that when adding three or more numbers, the way the numbers are grouped does not change their sum.

In this case, she is grouping \( 3 \) and \( 2 \) together before adding \( x \). So, the property that justifies Bianca's first step is the Associative Property of Addition.