Question

How do you solve `2/(3x)+2/3=8/(x+6)`?

Answer 1

`x=3`
`x=2`

Explanation:

`2/(3x)+2/3=8/(x+6)`
or
`2/3(1/x+1)=8/(x+6)`
or
`1/x+1=8/(x+6)(3/2)`
or
`1/x+1=12/(x+6)`
or
`1/x=12/(x+6)-1`
or
`12/(x+6)-1/x=1`
or
`(12x-x-6)/(x(x+6))=1`
or
`11x-6=x(x+6)`
or
`11x-6=x^2+6x`
or
`x^2-5x+6=0`
or
`x^2-3x-2x+6=0`
or
`x(x-3)-2(x-3)=0`
or
`(x-3)(x-2)=0`
or
`x-3=0`
`x=3`----------------Ans `1`
or
`x-2=0`
or
`x=2`----------------Ans `2`