Question

Solve for x n(17+x)=34x−r

Answer 1

`(17n+r)/(34-n)=x`

Explanation:

Given :
`n(17+x)=34x−r`

To Find : Find the value of x

Solution :

`n(17+x)=34x−r`

`17n+xn=34x−r`

`17n+r=34x−xn`

`17n+r=x(34−n)`

`(17n+r)/(34-n)=x`

Hence the value of x is
`(17n+r)/(34-n)`

Answer 2

`x=(r+17n)/(34-n)`.

Explanation:

We have been given an equation
`n(17+x)=34x-r`. We are asked to solve for x.

Using distributive property, we will get:

`17n+xn=34x-r`

Now, we will subtract 34x from both sides of our equation.

`17n+xn-34x=34x-34x-r`

`17n+xn-34x=-r`

Let us subtract 17n from both sides of our equation.

`17n-17n+xn-34x=-r-17n`

`xn-34x=-r-17n`

Now we will factor out x from left side of our equation.

`x(n-34)=-r-17n`

Upon dividing both sides of our equation by
`(n-34)`, we will get:

`(x(n-34))/((n-34))=(-r-17n)/((n-34))`

`x=(-r-17n)/((n-34))`

Now we will factor out negative sign as shown:

`x=(-(r+17n))/(-(-n+34))`

`x=(r+17n)/(34-n)`

Therefore, the value of x is
`x=(r+17n)/(34-n)`.