Question

If $x=2p$, then find the value of $p$ from the equation : $2(3p+3)-\frac{2}{5}(3+4x)=\frac{9}{2}$

Answer 1

$2(3p+3)-\frac{2}{5}(3+4x)=\frac{9}{2}$

At $x=2p$

$\Rightarrow 2(3p+3)-\frac{2}{5}(3+4\times 2p)=\frac{9}{2}$

$\Rightarrow 6p+6-\frac{2}{5}(3+8p)=\frac{9}{2}$

$\Rightarrow \frac{30p+30-6-16p}{5}=\frac{9}{2}$

$\Rightarrow 2(14p+24)=45$

$\Rightarrow 28p=45-48=-3$

$\therefore p=\frac{-3}{28}$