Question

Solve: `2/"5x" - 5/"3x" = 1/15`

Answer 1

`2/"5x" - 5/"3x" = 1/15`

`=> (2 xx 3)/("5x" xx 3) - (5 xx 5)/("3x" xx 5) = 1/15`

`=> (6 - 25)/"15x" = 1/15`

`=> (-19)/"15x" = 1/15`

`=> (-19)/"x" = 15/15`

`=> -19 = "x"`

∴ x = -19