\(\frac{x}{7}=\frac{x+16}{35}\)
<=> 7(x+16)=35x
=> x+16 = 5x
=>16 = 5x - x = 4x
=> x = 16 : 4
=> x = 4
\(\Rightarrow x-\frac{x}{7}=\frac{16}{35}\)
\(\Rightarrow\frac{35x}{35}-\frac{5x}{35}=\frac{16}{35}\)
=> 35x - 5x = 16
=> x.(35 - 5) = 16
=> x.30 = 16
=> x = 16 : 30
=> x = \(\frac{8}{15}\)