### Home > AC > Chapter 6 > Lesson 6.1.3 > Problem6-29

6-29.

As Sachiko solved the equation $(x+2)+3=9$, she showed her work in the table below. Copy the table and provide justification for each step.

Statement

Reason

1. $(x+2)+3=9$

Given

1. $x+(2+3)=9$

1. $x+5=9$

1. $x+5−5=9−5$

1. $x=4$

Decide what rule goes with each step being made.

Statement

Reason

1. $(x+2)+3=9$

Given

1. $x+(2+3)=9$

Associative Property

1. $x+5=9$

1. $x+5−5=9−5$

1. $x=4$