Question

How do you solve `\frac { 5} { 14} n - 8= 2`?

Answer 1

See a solution process below:

Explanation:

First, add `color(red)(8)` to each side of the equation to isolate the `n` term while keeping the equation balanced:

`5/14n - 8 + color(red)(8) = 2 + color(red)(8)`

`5/14n - 0 = 10`

`5/14n = 10`

Now, multiply each side of the equation by `color(red)(14)/color(blue)(5)` to solve for `n` while keeping the equation balanced:

`color(red)(14)/color(blue)(5) xx 5/14n = color(red)(14)/color(blue)(5) xx 10`

`cancel(color(red)(14))/cancel(color(blue)(5)) xx color(blue)(cancel(color(black)(5)))/color(red)(cancel(color(black)(14)))n = color(red)(14)/cancel(color(blue)(5)) xx color(blue)(cancel(color(black)(10)))2`

`n = color(red)(14) xx 2`

`n = 28`