Đáp án:
`x=1`
Giải thích các bước giải:
`|x+1/2|+|x+1/3|+|x+1/6|=4x`
Ta có:
`|x+1/2|>=0`
`|x+1/3|>=0`
`|x+1/6|>=0`
`=>|x+1/2|+|x+1/3|+|x+1/6|>=0`
`=>4x>=0=>x>=0`
$\left\{\begin{matrix}x+\dfrac12>0\\x+\dfrac13>0\\x+\dfrac16>0\end{matrix}\right.$`=>`$\left\{\begin{matrix}|x+\dfrac12|=x+\dfrac12\\|x+\dfrac13|=x+\dfrac13\\|x+\dfrac16|=x+\dfrac16\end{matrix}\right.$
`=>x+1/2+x+1/3+x+1/6=4x`
`=>3x+1=4x`
`=>4x-3x=1`
`=>x=1`
Vậy `x=1.`
