Question

How do you solve `10/(3x)-8=2/x` and find any extraneous solutions?

Answer 1

`x=1/6`

Explanation:

`10/(3x)-8=2/x` Multiply both sides by `x`
`(10x)/(3x)-8x=2`
`(10 cancelx)/(3 cancelx)-8x=2` Multiply both sides by `3`
`(10xx3)/3-((8x)xx3)=2xx3`
`(10xxcancel3)/cancel3-24x=6`
`10-24x=6`
`-24x=6-10=-4`
`x=(-4)/(-24)=1/6`