Answer:
.
Step-by-step explanation:
We have been given an equation
. We are asked to solve for x.
Using distributive property, we will get:
![17n+xn=34x-r](https://tex.z-dn.net/?f=17n%2Bxn%3D34x-r)
Now, we will subtract 34x from both sides of our equation.
![17n+xn-34x=34x-34x-r](https://tex.z-dn.net/?f=17n%2Bxn-34x%3D34x-34x-r)
![17n+xn-34x=-r](https://tex.z-dn.net/?f=17n%2Bxn-34x%3D-r)
Let us subtract 17n from both sides of our equation.
![17n-17n+xn-34x=-r-17n](https://tex.z-dn.net/?f=17n-17n%2Bxn-34x%3D-r-17n)
![xn-34x=-r-17n](https://tex.z-dn.net/?f=xn-34x%3D-r-17n)
Now we will factor out x from left side of our equation.
![x(n-34)=-r-17n](https://tex.z-dn.net/?f=x%28n-34%29%3D-r-17n)
Upon dividing both sides of our equation by
, we will get:
![\frac{x(n-34)}{(n-34)}=\frac{-r-17n}{(n-34)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%28n-34%29%7D%7B%28n-34%29%7D%3D%5Cfrac%7B-r-17n%7D%7B%28n-34%29%7D)
![x=\frac{-r-17n}{(n-34)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-r-17n%7D%7B%28n-34%29%7D)
Now we will factor out negative sign as shown:
![x=\frac{-(r+17n)}{-(-n+34)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28r%2B17n%29%7D%7B-%28-n%2B34%29%7D)
![x=\frac{r+17n}{34-n}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Br%2B17n%7D%7B34-n%7D)
Therefore, the value of x is
.