`a)` `\frac{3x+2}{2}` `-` `\frac{3x+1}{6}` `=` `\frac{5}{3}` + `2x`
`<=>` `3(3x+2)-(3x+1)=10+12x`
`<=>` `9x+6-3x-1=10+12x`
`<=>` `9x-3x-12x=10-6+1`
`<=>` `-6x = 5 `
`<=>` `x=` `\frac{-5}{6}`
Vậy `S``=` `{\frac{-5}{6}}`
`b)` `\frac{4x+3}{5}` `-` `\frac{6x-2}{7}` `=` `\frac{5x+4}{3}` `+` `3`
`<=>``21(4x+3)-15(6x-2)=35(5x+4)+315`
`<=>``84x+63-90x-20=175x+140+315`
`<=>``84x-90x-175x=20+315-63+140`
`<=>` `-181x =412`
`<=>` ` x =` `\frac{-412}{181}`
Vậy `S=` `{\frac{-412}{181}}`
`c)` `\frac{x+4}{5}` `-` `x + 4` `=` `\frac{x}{3}` `-` `\frac{x-2}{2}`
`<=>``6(x+4)-30x+120=10x-15(x-2)`
`<=>``6x+24-30x-120=10x-15x+30`
`<=>``6x-30x-10x+15x=30-24+120`
`<=>``-19x =126`
`<=>``x=``\frac{-126}{19}`
Vậy `S=` `{\frac{-126}{19}}`
`d)` `\frac{5x+2}{6}` `-` `\frac{8x-1}{3}` `=` `\frac{4x+2}{5}` `-` `5`
`<=>``6(5x+2)-10(8x-1)=6(4x+2)-150`
`<=>``30x+12-80x+10=24x+12-150`
`<=>``30x-80x-24x=12-150-12-10`
`<=>``-74x =-160`
`<=>` `x=` `\frac{160}{74}`
Vậy `S=``{\frac{160}{74}}`
