`5/[x-2]=10/16`
`10(x-2)=16.5=80`
`x-2=80:10=8`
`x=8+2=10`
\(\dfrac{5}{x-2}=\dfrac{10}{16}\)
\(\Rightarrow5.16=\left(x-2\right).10\)
\(\Rightarrow\left(x-2\right).10=80\)
\(\Rightarrow x-2=80:10\)
\(\Rightarrow x-2=8\)
\(\Rightarrow x=8+2\)
\(\Rightarrow x=10\)
\(\dfrac{5}{x-2}=\dfrac{10}{16}\)
\(\Leftrightarrow5\cdot16=\left(x-2\right)\cdot10\)
\(\Leftrightarrow80=10x-20\)
\(\Leftrightarrow10x=20+80\)
\(\Leftrightarrow10x=100\)
\(\Leftrightarrow x=\dfrac{100}{10}=10\)