\(\frac{x}{7}=\frac{x+16}{35}\)
\(\Rightarrow35x=7\left(x+16\right)\)
\(\Rightarrow35x=7x+112\)
\(\Rightarrow35x-7x=112\)
\(\Rightarrow28x=112\)
\(\Rightarrow x=112:28\)
\(\Rightarrow x=4\)
\(\dfrac{x}{7}\)+\(\dfrac{x+16}{35}\)
\(\Rightarrow x\cdot35=7\cdot\left(x+16\right)\)
\(\Rightarrow35x=7x+112\)
\(\Rightarrow35x-7x=112\)
\(\Rightarrow28x=112\)
\(\Rightarrow x=112:28\)
\(\Rightarrow x=4\)