Đáp án: + Giải thích các bước giải:
`a//`
`x/5 = (-3)/10`
`\to x/5 . 10 = (-3)/10 . 10`
`\to 2x = -3`
`\to x = (-3)/2`
Vậy `x = (-3)/2`
`b//`
`2 2/3x + 8/3 = 3 1/3`
`\to 8/3 x + 8/3 = 10/3`
`\to 8/3 x = 10/3 - 8/3`
`\to 8/3 x = 2/3`
`\to x = 2/3 : 8/3`
`\to x = 6/24 = 1/6`
Vậy `x = 1/6`
`c//`
`3 - ( 1/6 - x ) = 2/3`
`\to -(1/6 - x) = -7/3`
`\to 1 - 6x = 14`
`\to -6x = 13`
`\to x = -13/6`
Vậy `x = -13/6`
`d//`
`5/6 - x = (-7)/12 + 2/3`
`\to 5/6 - x = 1/12`
`\to -x = (-3)/4`
`\to x = 3/4`
Vậy `x = 3/4`
`e//`
`x - 43 - (57 - x) = 50`
`\to x - (57-x) = 93`
`\to 2x - 57 = 93`
`\to 2x = 150`
`\to x = 75`
Vậy `x = 75`
`f//`
`| x - 1/3 | = 1/2`
`⇔ x - 1/3 = \pm 1/2`
Trường hợp 1 :
`x - 1/3 = 1/2`
`\to x = 1/2 + 1/3`
`\to x = 5/6`
Trường hợp 2 :
`x - 1/3 = -1/2`
`\to x = -1/2 + 1/3`
`\to x = -1/6`
Vậy `x = -1/6` hoặc `x = 5/6`
`g//`
`3 1/3x + 16 = 13,25`
`\to 10/3x + 16 = 13,25`
`\to 10/3x = 29,25`
`\to 10x = 87,75`
`\to x = 8,775`
Vậy `x = 8,775`
`h//`
`2/3 + x = -45%`
`\to 2/3 + x = -9/20`
`\to x = -9/20 - 2/3`
`\to x = -67/60`
Vậy `x = -67/60`