Question

How do you solve `6/8=12/x`?

Answer 1

See the entire solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(8)color(blue)(x)` to eliminate the fractions while keeping the equation balanced:

`color(red)(8)color(blue)(x) xx 6/8 = color(red)(8)color(blue)(x) xx 12/x`

`cancel(color(red)(8))color(blue)(x) xx 6/color(red)(cancel(color(black)(8))) = color(red)(8)cancel(color(blue)(x)) xx 12/color(blue)(cancel(color(black)(x)))`

`6x = 96`

Now, divide each side of the equation by `color(red)(6)` to solve for `x` while keeping the equation balanced:

`(6x)/color(red)(6) = 96/color(red)(6)`

`(color(red)(cancel(color(black)(6)))x)/cancel(color(red)(6)) = 16`

`x = 16`