# Given the set:  {-2,10,-8,-14,x,7,-6} , for what x would the mean of the set be -8?

Dec 3, 2015

The mean of the set is $- 8$ for $x = - 43$.

#### Explanation:

You can calculate the mean of the set by adding all the numbers and dividing the sum by the amount of numbers.

In this case, the mean of your set would be

$\frac{- 2 + 10 + \left(- 8\right) + \left(- 14\right) + x + 7 + \left(- 6\right)}{7} = \frac{- 13 + x}{7}$

So, in order to find $x$, you need to solve the equatoin

$\frac{- 13 + x}{7} = - 8$

... multiply both sides with $7$ ...

$- 13 + x = - 56$

... add $13$ on both sides...

$x = - 43$
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