Question

How do you solve `n-10=5/6n-7-1/3n`?

Answer 1

`n = 6`

Explanation:

Step 1) Get all of the terms containing `n` over a common denominator by multiplying the term by the necessary for of `1`.
Step 2) Solve for `n` while keeping the equation balanced

`(6/6)n - 10 = (5/6)n - 7 - (2/2)(1/3)n`

`(6n)/6 -10 = (5n)/6 - 7 - (2n)/6`

`(6n)/6 - 10 = (3n)/6 - 7`

`(6n)/6 - 10 + 10 - (3n)/6 = (3n)/6 - 7 + 10 - (3n)/6`

`(6n)/6 - (3n)/6 = 3`

`(3n)/6 = 3`

`(6/3)((3n)/6) = (6/3)3`

`n = 6`