Question

determine a raiz da equaçao 3-x/8=x+1/4-x/3

Answer 1

3 - x/8 = x + 1/4 - x/3
MMC de 8, 4 e 3 = 24
3/1/24 - x/8/3 = x/1/24 + 1/4/6 - x/8
72 - 3x = 24x + 6 - 8x
- 3x - 24x + 8x = 6 - 72
- 19x =  - 66(multiplicando por - 1)
19x = 66 x = 66/19
x = 3,47

Answer 2

$3 - \dfrac{x}{8} = x + \dfrac{1}{4} - \dfrac{x}{3} \\ \\ \\ \dfrac{-x + 24}{8} = \dfrac{4x + 1}{4} - \dfrac{x}{3} \\ \\ \\ \dfrac{-x + 24}{8} = \dfrac{8x + 3}{12} \\ \\ \\ \dfrac{-x + 24}{8} - \dfrac{8x + 3} {12} =0 \\ \\ \\ \dfrac{19x + 66}{24} = 0 \\ \\ \\ -19x + 66 = 0 * (-1) \\ \\ \\ 19x - 66 = 0 \\ \\ \\ 19x = 66 \\ \\ \\ \fbox{ \ x = \dfrac{66}{19} \ }$