Question

What is the value of `x` in the equation `3/4x + 4 = 5/8`?

Answer 1

It is `x=-9/2`.

Explanation:

First I write all the terms with the `x` on one side and the terms with only numbers on the other side of the `=` remembering that when a term pass from one side to the other the sign changes.

`3/4x+4=5/8` becomes
`3/4x=5/8-4`.
Then we calculate `5/8-4` that is
`5/8-4=5/8-32/8=(5-32)/8=-27/8`, so we have
`3/4x=-27/8`.
Now we multiply left and right for `4/3` because we want to remove the `3/4` in front of the `x`

`4/3*3/4x=4/3*(-27/8)`
`x=-(27*4)/(3*8)`
`x=-9/2`.