Answer
$x=-21$
Work Step by Step
Given: $\frac{5}{2x-3}=\frac{7}{3x}$
$15x=7(2x-3)$
$15x=14x-21$
$x=-21$
Check:
$\frac{5}{2(-21)-3}=\frac{7}{3(-21)}$
$-\frac{1}{9}=-\frac{1}{9}$
Hence, the solution is $x=-21$.
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