Answer
The solution is {$34$}.
Work Step by Step
$\frac{5}{2x-3}=\frac{3}{x+5}$ Where $x\ne\frac{3}{2}, x\ne-5$
$5(x+5)=3(2x-3)$ Use cross multiplication.
$5x+25=6x-9$ Distribute.
$5x-6x+25=6x-6x-9$ Subtract 6x from both sides.
$-x+25=-9$
$-x+25-25=-9-25$ Add -25 to both sides.
$-x=-34$
$\frac{-x}{-1}=\frac{-34}{-1}$
$x=34$
The solution is {$34$}.
