Respuesta :

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Answer:

The required answer is shown below:

Step-by-step explanation:

Consider the provided equation.

   Statement                   Reason

1. [tex]5(x+6)=x+38[/tex]    Given

2. [tex]\bold{5x+30=x+38}[/tex]    Distributive property

3. [tex]5x+30-30=x+38-30[/tex]    Subtraction property of equality

4. [tex]\bold{5x=x+8}[/tex]         Simplifying

5. [tex]\bold{5x-x=x+8-x}[/tex]         Subtraction property of equality

6. [tex]\bold{4x=8}[/tex]            Simplifying

7. [tex]\frac{4x}{4}=\frac{8}{4}[/tex]            Division property of equality

8. [tex]x=2[/tex]            Simplifying

Hence the required answer is shown above.