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MissPhiladelphia
For the answer to the question in the given equation above, substitute 78 for X because a quantity can be substituted for it's equal. 

78/6 + 2 = 15, 
13 + 2 = 15,Therefore 
15 = 15.I hope my answer and solution helped you in your problem. Have a nice day!

Answer:

Given: [tex]\frac{x}{6} + 2 = 15[/tex]                             ......[1]

To prove : x =78

Subtraction property states that you subtract the same number to both sides of an equation.

Subtract 2 from both sides of an equation [1];

[tex]\frac{x}{6} + 2 - 2= 15 -2[/tex]

Simplify:

[tex]\frac{x}{6} = 13[/tex]                                             ......[2]

Multiplication property states that you multiply the same number to both sides of an equation.

Multiply 6 to both sides of an equation [2];

[tex]\frac{x}{6} \times 6 = 13 \times 6[/tex]

Simplify:

[tex]x = 78[/tex]                      proved!

Statement                                           Reason

1.  [tex]\frac{x}{6} + 2 = 15[/tex]                 Given

2.  [tex]\frac{x}{6} = 13[/tex]                 Subtraction property of equality

3. [tex]x = 78[/tex]                              Multiplication property of equality

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