Question

How do you solve `2/x+4/x=3`?

Answer 1

See a solution process below:

Explanation:

First, add the fractions on the left over the common denominator:

`2/x + 4/x = 3`

`(2 + 4)/x = 3`

`6/x = 3`

Now, multiply each side by `color(red)(x)/color(blue)(3)` to solve for `x` while keeping the equation balanced:

`color(red)(x)/color(blue)(3) xx 6/x = color(red)(x)/color(blue)(3) xx 3`

`(cancel(color(red)(x))color(red)(1))/color(blue)(3) xx 6/(color(red)(cancel(color(black)(x)))1) = color(red)(x)/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))`

`6/3 = x`

`2 = x`

`x = 2`