\(\frac{x+50}{x+61}=\frac{x-15}{x-10}\)
\(\Leftrightarrow\left(x+50\right).\left(x-10\right)=\left(x-15\right).\left(x+61\right)\)
\(\Rightarrow x^2-10x+50x-500=x^2+61x-15x-915\)
\(\Rightarrow40x-500=46x-915\)
\(\Rightarrow415=6x\Rightarrow x=\frac{415}{6}\)
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