`a)`

`-5x+|3x-6|=1`

`TH1 x>=2`

`=>-5x+3x-6=1`

`-2x=7`

`x=7/(-2)(KTM)`

`TH2x<2`

`=>-5x-3x+6=1`

`-8x=-5`

`x=5/8(TM)`

Vậy `x={5/8}`

`b)`

`|x-5|=3x-1`

`TH1x>=5`

`=>x-5=3x-1`

`2x=-4`

`x=-2(KTM)`

`TH2x<5`

`-x+5=3x-1`

4x=6`

`x=3/2(TM)`

Vậy `x={3/2}`

`c)`

`|2x-1|=3x+2`

`TH1 x>=1/2`

`=>2x-1=3x+2`

`x=-3(KTM)`

`TH2 x<1/2`

`=>-2x+1=3x+2`

`-5x=1`

`x=-1/5(TM)`

Vậy `x={-1/5}`

`d)`

`|3x-1|+x=5`

`TH1 x>=1/3`

`=>3x-1+x=5`

`4x=6`

`x=3/2(TM)`

`TH2 x<1/3`

`=>-3x+1+x=5`

`-2x=4`

`x=-2(TM)`

Vậy `x={3/2;-2}`

`e)`

`|x+1|-2x=12`

`TH1 x>=-1`

`=>x+1-2x=12`

`-x=11`

`x=-11(KTM)`

`TH2 x<-1`

`=>-x-1-2x=12`

`-3x=13`

`x=13/(-3)(TM)`

Vậy `x={-13/3}`

`j)`

`3x-|x-3|=5`

`TH1 x>=3`

`=>3x-x+3=5`

`2x=2`

`x=1(KTM)`

`TH2 x<3`

`3x+x-3=5`

`4x=8`

`x=2(TM)`

Vậy `x={2}`