Đáp án:
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`a,`
`2/3x + 3/2x = 5/12`
`⇔ (2/3 + 3/2)x = 5/12`
`⇔ 13/6x = 5/12`
`⇔x=5/12 ÷ 13/6`
`⇔x=5/26`
Vậy `x=5/26`
`b,`
`2/5 + 3/5 (3x - 3,7) = (-53)/10`
`⇔ 3/5 (3x - 37/10) = (-53)/10 - 2/5`
`⇔ 3/5 (3x - 37/10) = (-57)/10`
`⇔ 3x - 37/10 = (-57)/10 ÷ 3/5`
`⇔ 3x - 37/10 = (-19)/2`
`⇔ 3x = (-19)/2 + 37/10`
`⇔ 3x = (-29)/5`
`⇔x=(-29)/5 ÷ 3`
`⇔x=(-29)/15`
Vậy `x=(-29)/15`
`c,`
`7/9 ÷ (2 + 3/4x) + 5/9 = 23/27`
`⇔ 7/9 ÷ (2 + 3/4x) = 23/27 - 5/9`
`⇔ 7/9 ÷ (2 + 3/4x) =8/27`
`⇔ 2 + 3/4x = 7/9 ÷ 8/27`
`⇔ 2 + 3/4x = 21/8`
`⇔ 3/4x =21/8 - 2`
`⇔ 3/4x=5/8`
`⇔x=5/8÷3/4`
`⇔x=5/6`
Vậy `x=5/6`
`d,`
`(-2)/3x + 1/5 =3/10`
`⇔ (-2)/3x = 3/10 - 1/5`
`⇔ (-2)/3x = 1/10`
`⇔x=1/10 ÷ (-2)/3`
`⇔x=(-3)/20`
Vậy `x=(-3)/20`
`e,`
`|x| - 3/4 = 5/3`
`⇔ |x| = 5/3 + 3/4`
`⇔ |x| = 29/12`
`⇔ x =29/12` hoặc `x=(-29)/12`
Vậy `x=29/12` hoặc `x=(-29)/12`
`f,`
`|2x-1/3| + 5/6 = 1`
`⇔ |2x-1/3| = 1 - 5/6`
`⇔ |2x-1/3| = 1/6`
`⇔2x-1/3=1/6` hoặc `2x-1/3=(-1)/6`
`⇔2x=1/6+1/3` hoặc `2x=(-1)/6+1/3`
`⇔2x=1/2` hoặc `2x=1/6`
`⇔x=1/2÷2` hoặc `x=1/6÷2`
`⇔x=1/4` hoặc `x=1/12`
Vậy `x=1/4` hoặc `x=1/12`
