Question

3/4=x-3/5x?

Answer 1

`x = 15/8`

Explanation:

`3/4=x-3/5x`

Sometimes it helps to rewrite the problem, I see an invisible 1 in there that may make things easier to think about if I write it in...

`3/4=(1*x)-(3/5*x)`

Now I can clearly see that I have two numbers, 1 and `3/5` being multiplied by `x` and subtracted from each other. Since they are both being multiplied by `x` we can factor that `x` out and work with two constants which makes our lives easier, so lets do that :)

`3/4=x*(1-3/5) = x*(5/5-3/5) = x*(2/5)`

so,
`3/4 = x2/5`

Finally I can multiply both sides by the reciprocal of `2/5`, `5/2`, to isolate x and solve the problem!

`3/4*5/2 = x2/5*5/2 = x = 15/8`

So, `x = 15/8` :D