When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? Original Equation: 5+(2+x)=4 First Step: (5+2)+x=4 division property of equality subtraction property of equality distributive property of multiplication over addition associative property of addition

Rearrange parentheses: Carmen's first step is to go from 5+(2+x) to (5+2)+x. This step involves rearranging the parentheses without changing the order of the numbers or the operation between them. This is an application of the associative property, which in addition allows us to group numbers differently without changing the sum.

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When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?
Original Equation:

5+(2+x)=4
First Step:

(5+2)+x=4
division property of equality
subtraction property of equality
distributive property of multiplication over addition
associative property of addition

When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step? $\newline$ Original Equation: $\newline$ $5+(2+x)=4$ $\newline$ First Step: $\newline$ $(5+2)+x=4$ $\newline$ division property of equality $\newline$ subtraction property of equality $\newline$ distributive property of multiplication over addition $\newline$ associative property of addition

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Algebra 1

Properties of equality

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

\newline

Original Equation:

\newline

5+(2+x)=4

\newline

First Step:

\newline

(5+2)+x=4

\newline

division property of equality

\newline

subtraction property of equality

\newline

distributive property of multiplication over addition

\newline

associative property of addition

Rearrange parentheses: Carmen's first step is to go from $5+(2+x)$ to $(5+2)+x$ . This step involves rearranging the parentheses without changing the order of the numbers or the operation between them. This is an application of the associative property, which in addition allows us to group numbers differently without changing the sum.