Question

Solve for $x$:
$2\left(5\times \frac{7}{2}\right)=2\times \left(\frac{3}{2}x-14\right)$

Answer 1

$2(5\times \frac{7}{2})=2x(\frac{3}{2}-14)$

$\Rightarrow \frac{35}{2}=2x\left(\frac{3x-28}{2}\right)$

$\Rightarrow 35=3x-28$

$\Rightarrow 3x=35+28$

$\Rightarrow 3x=63$

$\Rightarrow x=\frac{63}{3}$

$\therefore x=21.$