Answer
Infinitely many solutions.
Work Step by Step
The given equation is
$\Rightarrow 5(1+x)=5x+5$
Use distributive property.
$\Rightarrow 5+5x=5x+5$
Subtract $5x$ from each side.
$\Rightarrow 5+5x-5x=5x+5-5x$
Simplify.
$\Rightarrow 5=5$
The statement $5=5$ is always true. so, the equation has infinitely many solutions.