Question

Solve
2-
`(x)/(3)`=6-x

Answer 1

`:\implies\sf\:2-(x)/(3)=6-x`

Taking LCM in left side, we obtain

`:\implies\sf\:(6-x)/(3)=6-x`

`:\implies\sf\:6-x=3(6-x)`

`:\implies\sf\:6-x=18-3x`

`:\implies\sf\:-x+3x=18-6`

`:\implies\sf\:2x=12`

`:\implies\sf\:x=(12)/(2)`

`:\implies\boxed{\bf{\orange{x=6}}}`