✔ 最佳答案
1st interpretation:
([2x + 1]/8) - ([x + 4]/2) = 3
([2x + 1] - 4[x + 4])/8 = 3
2x + 1 - 4x - 16 = 24
2x = - 39
x = - 39/2
Answer: x = - 39/2 or - 19 1/2
Proof:
([2{- 39/2} + 1]/8) - ([- 39/2 + 4]/2) = 3
([- 39 + 1]/8) - ([- 39/2 + 8/2]/2) = 3
(- 19/4) - ([- 31/2]/2) = 3
- 19/4 - (- 31/4) = 3
- 19/4 + 31/4 = 3
12/4 = 3
3 = 3
2nd interpretation:
2x + 1/8 - x + 4/2 = 3
x + 1/8 + 2 = 3
8x + 1 + 16 = 24
8x + 17 = 24
8x = 7
x = 7/8
Answer: x = 7/8
Proof:
2(7/8) + 1/8 - (7/8) + 4/2 = 3
7/4 + 1/8 - 7/8 + 2 = 3
14/8 + 1/8 - 7/8 + 16/8 = 3
24/8 = 3
3 = 3
3rd interpretation:
([2x + 1]/[8 - x]) + 4/2 = 3
(2x + 1)/(8 - x) = 1
2x + 1 = 8 - x
3x = 7
x = 7/3 or 2 1/3
Proof:
([2{7/3} + 1]/[8 - {7/3}]) + 4/2 = 3
([14/3 + 3/3]/[24/3 - 7/3]) + 2 = 3
([17/3]/[17/3]) + 2 = 3
([17/3][3/17]) + 2 = 3
1 + 2 = 3