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For what value of x will x be the average of 2, 4x, 6, 8, 10?

Sagot :

In order to get the average of a list on numbers, we have to take the sum of all the numbers and divide them to how many they are. 

Making that statement an equation, we do:

[tex] \frac{2+4x+6+8+10}{5}=x [/tex]

Notice that we divide it by 5 because we have 5 numbers. We equate it by x because the problem says that it should be the average.

Divide both sides by 5,
[tex]2+4x+6+8+10=5x[/tex]

Combine all the constants,
[tex]4x+26=5x[/tex]

Transpose,
[tex]26=x[/tex]

Therefore, we get 26 as x.

In order to check if we got the right answer, substitute 26 on x and see if you get an equation. 

Hope that helps.