Question

2 by 3 x minus 1 by 12 equals to 3 by 2 x find the solution with check

Answer 1

Answer:

$\frac{18}{52}$

Step-by-step explanation:

$\frac{ \frac{2}{3x - 1} }{12} = \frac{3}{2x} \\ \\ thus \: - \frac{2}{3x - 1} = \frac{3}{2x} \times 12 \\ \\ = \: \frac{2}{3x - 1 } = \frac{18}{x} \\ \\ = 2x = 18(3x - 1) \\ \\ = 2x = 54x - 18 \\ \\ 18 = 54x - 2x \\ \\ = 18 = 52x \\ \\ therefore \: x \: = \frac{18}{52}$