Đk: `x ne 0,5; -2`.
`154/(x-0,5) = 150/(x+2)`
` 154 x + 308 = 150x - 75`
`4x = -383`
`x = -383/4`
đk x ≠ 1/2 , x≠ -2
\(\dfrac{154}{x-0.5}=\dfrac{150}{x+2}\\ \dfrac{154}{x-\dfrac{1}{2}}-\dfrac{150}{x+2}=0\\ \dfrac{154\left(x+2\right)-150\left(x-\dfrac{1}{2}\right)}{\left(x-\dfrac{1}{2}\right)\left(x+2\right)}=0\\ 154x+308-150x+75=0\\ 4x+383=0\\ 4x=-383\\ x=-\dfrac{383}{4}\)