Question

How do you solve `\frac { 6} { x } + 4= \frac { 17} { 4x } + 3`?

Answer 1

`x=-7/4`

Explanation:

You want to end up with something that has `x` on one side, numbers on the other.

Move the 3 across (or subtract 3 from both sides):
`6/x+1=17/(4x)`

Move across the `6/x`:
`17/(4x)-6/x=1`

Combine the fractions by multiplying the `6/x` by four (top and bottom)
`17/(4x)-24/(4x)=1`
`-7/(4x)=1`

Multiply through by `4x`:
`-7=4x`

Divide by 4:
`:.x=-7/4`