Answer
The solution is $x=4$.
Work Step by Step
$\frac{16}{x+10}=\frac{8}{2x-1}$
Cross multiply:
$16(2x-1)=8(x+10)$
$32x-16=8x+80$
Simplify:
$24x=96$
$x=4$
Check:
$\frac{16}{4+10}=\frac{8}{2(4)-1}$
$\frac{8}{7}=\frac{8}{7}$
The solution is $x=4$.
