Question

Find the value of x : $\frac{\frac{x}{3}-\frac{2}{5}}{\frac{3}{4}-2x}=\frac{16}{15}$

Answer 1

$\frac{\frac{x}{3}-\frac{2}{5}}{\frac{3}{4}-2x}=\frac{16}{15}$

$\Rightarrow 15\times (\frac{x}{3}-\frac{2}{5})=16\times (\frac{3}{4}-2x)$

Solving we get

$\Rightarrow 15\times \frac{5x-6}{15}=16\times \frac{3-8x}{4}$

$5x-6$ $=$ $12-32x$

$37x=18$

So $x=\frac{18}{37}$