Answer
No solution.
Work Step by Step
The given equation is
$\Rightarrow 5(1+2m)= \frac{1}{2}(8+20m)$
Use distributive property.
$\Rightarrow 5+10m=4+10m$
Subtract $10m$ from each side.
$\Rightarrow 5+10m-10m=4+10m-10m$
Simplify.
$\Rightarrow 5= 4$
The statement $5=4$ is never true. so, the equation has no solution.