Answer
$g=-4$.
Work Step by Step
The given equation is
$\Rightarrow 10(g+5)=2(g+9)$
Use distributive property.
$\Rightarrow 10g+50=2g+18$
Add $-2g-50$ to both sides.
$\Rightarrow 10g+50-2g-50=2g+18-2g-50$
Simplify.
$\Rightarrow 8g=-32$
Divide both sides by $8$.
$\Rightarrow \frac{8g}{8}=\frac{-32}{8}$
Simplify.
$\Rightarrow g=-4$.
Check:-
$\Rightarrow 10(-4+5)=2(-4+9)$
$\Rightarrow 10(1)=2(5)$
$\Rightarrow 10=10$
True.
Hence, the solution is $g=-4$.
