Answer
$q=\frac{5}{6}$.
Work Step by Step
The given equation is
$\Rightarrow 2(8q-5)=4q$
Use distributive property.
$\Rightarrow 16q-10=4q$
Add $10$ to both sides.
$\Rightarrow 16q-10+10=4q+10$
Simplify.
$\Rightarrow 16q=4q+10$
Subtract $4q$ from both sides.
$\Rightarrow 16q-4q=4q+10-4q$
Simplify.
$\Rightarrow 12q=10$
Divide both sides by $12$.
$\Rightarrow \frac{12q}{12}=\frac{10}{12}$
Simplify.
$\Rightarrow q=\frac{5}{6}$
Check :-
$\Rightarrow 2(8(\frac{5}{6})-5)=4(\frac{5}{6})$
$\Rightarrow 2(\frac{20}{3}-5)=\frac{10}{3}$
$\Rightarrow 2(\frac{20}{3}-\frac{15}{3})=\frac{10}{3}$
$\Rightarrow 2(\frac{20-15}{3})=\frac{10}{3}$
$\Rightarrow 2(\frac{5}{3})=\frac{10}{3}$
$\Rightarrow \frac{10}{3}=\frac{10}{3}$
True.
Hence, the solution is $q=\frac{5}{6}$.
