Steps to solve a linear equation

Some of the steps in Raya's solution to  2.5(6.25x + 0.5) = 11 are shown.

Statement
​1.)  2.5(6.25x + 0.5) = 11
​2.)  
3.)  
​4.)  x = 0.624

Reason
1.)  Given
2.)  
3.)  Subtraction Property of Equality
4.)  ​

Select the correct reason for line 4  of Raya's solution.

• Closure Property
• Distributive Property
• Addition Property of Equality
• Division Property of Equality
• Symmetric Property of Equality

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Completing the steps and reasons from above:​

Statement
​1.)  2.5(6.25x + 0.5) = 11
​2.)  15.625x + 1.25 = 11  
3.)  15.625x = 9.75
​4.)  x = 0.624

Reason
1.)  Given
2.)  Distributive Property  
3.)  Subtraction Property of Equality
4.)  ​Division Property of Equality

Each side of the equation was divided by 15.625, therefore the reason for step 4 is the
division property of equality.

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