Answer
$g=5$.
Work Step by Step
The given equation is
$\Rightarrow 8g+10=35+3g$
Add $-3g-10$ to both sides.
$\Rightarrow 8g+10-3g-10=35+3g-3g-10$
Simplify.
$\Rightarrow 5g=25$
Divide both sides by $5$.
$\Rightarrow \frac{5g}{5}=\frac{25}{5}$
Simplify.
$\Rightarrow g=5$.
Check:-
$\Rightarrow 8(5)+10=35+3(5)$
$\Rightarrow 40+10=35+15$
$\Rightarrow 50=50$
True.
Hence, the solution is $g=5$.