\(\frac{9+x}{13-x}=\frac{5}{6}\)
=> (9 + x).6 = 5.(13 - x)
=> 54 + 6x = 65 - 5x
=> 6x + 5x = 65 - 54
=> 11x = 9
=> x = 9/11
\(\frac{9+x}{13-x}=\frac{5}{6}\)
\(\left(9+x\right)\times6=\left(13-x\right)\times5\)
\(54+6\times x=65-5\times x\)
\(6\times x+5\times x=65-54\)
\(11\times x=11\)
\(x=1\)