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A student solved the equation x+2(x+1)=17 below and showed their work in the table below.

Problem x+2(x+1)=17
Line 1 x+2x+2=17
Line 2 3x+2=17
Line 3 3x=15
Line 4 x=5

Identify the property used to arrive at Line 2.

Subtraction Property of Equalities

Collect Like Terms

Distributive Property

Addition Property of Equalities

Respuesta :

Equation solved by a student has been given as,

[tex]x+2(x+1)=17[/tex]

Solution in each step,

Step 1 → [tex]x+2x+2=17[/tex]

Step 2 → [tex]3x+2=17[/tex]

Step 3 → [tex]3x=15[/tex]

Step 4 → [tex]x=5[/tex]

In step 2, addition of two terms have been done → [tex](x+2x=3x)[/tex]

        Therefore, property used to reach at step 2 → Addition property of equality

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trethemusicman

Answer:

yes

Step-by-step explanation:

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