Solve:

$\dfrac{2}{5x} - \dfrac{5}{3x} = \dfrac{1}{15}$

$\dfrac{2}{5x} - \dfrac{5}{3x} = \dfrac{1}{15}$

Since L.C.M. of denominators 5x and 3x = 15x, multiply each term with 15x to get:

$⇒ \dfrac{2 \times 15x}{5x} - \dfrac{5 \times 15x}{3x} = \dfrac{1 \times 15x}{15}$

⇒ 2 $\times$ 3 - 5 $\times$ 5 = 1 $\times$ x

⇒ 6 - 25 = x

⇒ - 19 = x

Hence, the value of x is -19.