Question

What value of n makes the equation?

8n - 5 = -2n + 5 true?

Answer 1

`n=1`

Explanation:

`8n - 5 = -2n + 5`

First, add 5 to both sides.

`8n-5+5=-2n+5+5\\`

`8n=-2n+10`

Then, add 2n to both sides.

`8n+2n=-2n+10+2n`

`10n=10`

Finally, divide both sides by 10.

`(10n)/(10)=(10)/(10)`

`n=1`.

Answer 2

`n=1`

Explanation:

So we have the equation:

`8n-5=-2n+5`

First, add 2n to both sides. The right side cancels:

`10n-5=5`

Add 5 to both sides:

`10n=10`

Now, divide both sides by 7:

`n=1`

And we're done!