Question

Find x if $\frac{x}{6!}-\frac{3}{6!}=\frac{4}{8!}$

Answer 1

$\frac{x}{6!}-\frac{3}{6!}=\frac{4}{8!}$

$\Rightarrow \frac{x-3}{6!}=\frac{4}{8!}$

$\Rightarrow \frac{x-3}{6!}=\frac{4}{8\times 7\times 6!}$

$\Rightarrow (x-3)56=4$

$\Rightarrow 56x-168=4$

$\Rightarrow 56x=172$

$\Rightarrow x=\frac{172}{56}=\frac{86}{28}=\frac{43}{14}$

$\therefore x=\frac{43}{14}$.