Question

Question #a2ba2

Answer 1

`w=-1`

Explanation:

Firstly, lets get rid of the brackets and add all the like terms together.
`2/w +5= 5/w+5+3`
`2/w+5=5/w+8`

Next lets subtract 5 from each side, to get
`2/w+5-color(red)(5)=5/w+8-color(red)(5)`
`2/w=5/w+3`

Then we subtract `5/w` from both sides, to get
`2/w - color(red)(5/w)=5/w -color(red)(5/w)+3`
`-3/w=3`

Now we multiply both sides by `w`, as a setup for the next step, so
`-3/w *color(red)(w)=3*color(red)(w)`
`-3=3w`

The last step is to divide both sides by 3 so as to isolate `w`,
`-3/color(red)(3)=(cancel(3)w)/cancel(color(red)(3))`
`-1/1=w/1`

`-1=w`, and there is your answer.

How I multiplied the fractions is because `a/b*c/d=(ab)/(cd)`.
How I divided the fractions is because
`a/b ÷ c = a/b * 1/c = a/(bc)`

I hope I helped!