Giải:
\(\dfrac{37-x}{x+13}=\dfrac{3}{7}\)
\(\Leftrightarrow7\left(37-x\right)=3\left(x+13\right)\)
\(\Leftrightarrow259-7x=3x+39\)
\(\Leftrightarrow7x+3x=259-39\)
\(\Leftrightarrow10x=220\)
\(\Leftrightarrow x=\dfrac{220}{10}\)
\(\Leftrightarrow x=22\)
Vậy \(x=22\).
Chúc bạn học tốt!