Question

$30 \div x - 30 \div 2x = 3$
​

Answer 1

$\textbf{\large{\underline{\underline{Answer :}}}}$

x = 5

$\textbf{\large{\underline{\underline{Explanation :}}}}$

$\frac{30}{x} - \frac{30}{2x} = 3$

$\frac{30 \times 2}{x \times 2} - \frac{30}{2x} = 3$

$\frac{60}{2x} - \frac{30}{2x} = 3$

$\frac{30}{2x} = 3$

$30 = 3 \times 2x$

$30 = 6x$

$x = \frac{30}{6}$

$x = 5$

Verification :

$\frac{30}{5} - \frac{30}{2(5)} = 3$

$6 - \frac{30}{10} = 3$

$6 - 3 = 3$

$3 = 3$

${\boxed{\boxed{x = 5}}}$