Answer
Infinitely many solutions.
Work Step by Step
The given equation is
$\Rightarrow -2+5x-7=3x-9+2x$
Combine like terms.
$\Rightarrow 5x-9=5x-9$
Subtract $5x$ from each side.
$\Rightarrow 5x-9-5x=5x-9-5x$
Simplify.
$\Rightarrow -9= -9$
The statement $-9=-9$ is always true. so, the equation has infinitely many solutions.
