Answer
$\{21\}$
Work Step by Step
Cross multiply.
$3(x+5)=2(2x-3)$
Use distributive property.
$3x+15=4x-6$
Add $-3x+6$ to both sides.
$3x+15-3x+6=4x-6-3x+6$
Simplify.
$21=x$
Hence, the solution to the equation is $\{21\}$.