`a)`
`(3x+2)/2-(3x+1)/6=5/3+2x`
`<=>(3.(3x+2))/6-(3x+1)/6=10/6+(12x)/6`
`<=>3.(3x+2)-(3x+1)=10+12x`
`<=>9x+6-3x-1=10+12x`
`<=>6x+5=10+12x`
`<=>6x-12x=10-5`
`<=>-6x=5`
`<=>x==5/6`
Vậy `S={-5/6}`
`b)`
`(4x+3)/5-(6x-2)/7=(5x+4)/3+3`
`<=>(21.(4x+3))/105-(15.(6x-2))/105=(35.(5x+4))/105+315/105`
`<=>21.(4x+3)-15.(6x-2)=35.(5x+4)+315`
`<=>84x+63-90x+30=175x+140+315`
`<=>84x-90x-175x=140+315-63-30`
`<=>-181x=362`
`<=>x=-2`
Vậy `S={-2}`
`c)`
`(x+4)/5-x+4=x/3-(x-2)/2`
`<=>(6.(x+4))/30-(30x)/30+120/30=(10x)/30-(15.(x-2))/30`
`<=>6.(x+4)-30x+120=10x-15.(x-2)`
`<=>6x+24-30x+120=10x-15x+30`
`<=>6x-30x-10x+15x=30-24-120`
`<=>-19x=-114`
`<=>x=6`
Vậy `S={6}`
`d)`
`(5x+2)/6-(8x-1)/3=(4x+2)/5-5`
`<=>(5.(5x+2)-10.(8x-1)-6.(4x+2)+150)/30=0`
`<=>5.(5x+2)-10.(8x-1)-6.(4x+2)+150=0`
`<=>25x+10-80x+10-24x-12+150=0`
`<=>(25x-80x-24x)+(10+10-12+150)=0`
`<=>-79x+158=0`
`<=>-79x=-158`
`<=>x=2`
Vậy `S={2}`
