\(\dfrac{3}{x-2}=\dfrac{-2}{x-4}\)
\(\Rightarrow3\left(x-4\right)=-2\left(x-2\right)\) (áp dụng tính chất tỉ lệ thức)
\(\Rightarrow3x-12=-2x+4\)
\(\Rightarrow3x+2x=4+12\)
\(\Rightarrow5x=16\)
\(\Rightarrow x=\dfrac{16}{5}\)
Vậy: \(x=\dfrac{16}{5}\)
=>3(x-4)=-2(x-2)
=>3x-12=-2x+4
=>5x=16
=>x=16/5