Đáp án:
`x =` `409 /246`
Giải thích các bước giải:
`3 -` `2/( 2x - 3)` = `2/5` `+` `2/( 9 - 6x )` `-` `3/2`
`3 -` `2/5` + `3/2` `=` `2/( 9 - 6x )` `+` `2/( 2x - 3)`
`30/10` `-` `4/10` `+` `15/10` `=` `( 2 . ( - 3 ) )/( 2x - 3 ) . ( - 3 )` `+` `2/( 9 - 6x )`
`41/10` `=` `( - 6 )/( 9 - 6x )` `+` `2/( 9 - 6x )`
`41/10` `=` `( - 6 + 2 )/( 9 - 6x )`
`41/10` `=` `( - 4 )/( 9 - 6x )`
`=> ( - 4 ) :` `41/10` `= ( 9 - 6x )`
`=> ( - 4 ) .` `10/41` `= ( 9 - 6x )`
`=>` `(- 40)/41` `= 9 - 6x`
`=>` `(- 40)/41` `- 9 = - 6x`
`=>` `(- 40)/41` - `369/41` `= - 6x`
`=>` `(- 409 )/41` `= - 6x`
`=>` `409/41` `= 6x`
`=> x =` `409 /246`
Vậy `x =` `409 /246`