Question

Find value of $z$ from the equation :
$\frac{-5z+2}{4}+\frac{2z-4}{2}=\frac{-5z-22}{4}$

Answer 1

Given, $\frac{-5z+2}{4}+\frac{2z-4}{2}=\frac{-5z-22}{4}$

$\Rightarrow \frac{(-5z+2)+2(2z-4)}{4}=\frac{-5z-22}{4}$

$\Rightarrow (-z-6)=(-5z-22)$

$\Rightarrow 4z=-16$

$\Rightarrow z=-4$