Đáp án: `x = 35/108`
`x = 109/300 `
Giải thích các bước giải:
* ` 2( 3/2 - x ) - 1/3 = 7x - 1/4 ` *
`⇒ ( 2 . 3/2 - 2x ) - 1/3 = 7x - 1/4 `
`⇒ ( 3 - 2x ) - 1/3 = 7x - 1/4 `
`⇒ 3 - 2x - 1/3 = 7x - 1/4 ⇒ ( 3 -1/3 ) - 2 = 7x - 1/4 `
`⇒ 8/3 - 2x = 7x - 1/4 `
`⇒ ( 7x - 1/4 ) - 8/3 + 2x = 0` ( áp dụng quy tắc chuyển vế )
`⇒ ( 7x + 2x ) + ( -1/4 - 8/3 ) = 0 `
`⇒ 9x + (-35/12 )= 0`
`⇒ 9x = 35/12 `
`⇒ x = 35/12 : 9 = 35/108 `
* `1/5 .( -3/5 – 10) + 5x = x – 2/3` *
`⇒ [ 1/5 . ( -3/5 ) - 1/5 . 10 ] + 5x = x - 2/3 `
`⇒ ( -3/25 - 2 ) + 5x = x - 2/3 `
`⇒ -53/25 + 5x = x - 2/3 `
`⇒ ( -53/25 + 5x ) + 2/3 = x `
`⇒ ( -53/25 + 2/3 ) + 5x = x`
`⇒ -109/75 + 5x = x `
`⇒ -109/75 + 5x - x = 0 `
`⇒ -109/75 + 4x = 0 `
`⇒ 109/75 = 4x `
`⇒ x = 109/75 : 4 = 109/300`
