Question

equação.2(x-1)/3-3(x+1)/2=-(x+2)/6

Answer 1

2(x-1)/3-3(x+1)/2=-(x+2)/6

$2  \frac{(x-1)}{3} - 3 \frac{(x+1)}{2} = \frac{-(x+2)}{6} \\ \\ MMC(2,3,6) = 6\\ \\ \frac{2x-2}{3} - \frac{-3x-3}{2} = \frac{-x - 2}{6} \\ \\ \frac{4x - 4 - 9x - 9 = -x - 2 }{6} \\ \\ 4x-4-9x-9=-x-2\\ \\ 4x - 9x + x = - 2 + 4 + 9 \\ \\ -4x = 11\\ \\ x = -\frac{11}{4}$

Answer 2

2(x-1)/3-3(x+1)/2=-(x+2)/6

2x - 2/3 - 3x - 3/2 = x + 2/6    mmc  3,2,6  = 6

2( 2x -2)  - 3 ( 3x -3) = x + 2

4x - 4 -9x +9 = x + 2

-5x -x = 2 + 4  - 9

-6x = -3  (-1)

  x = 3/6

  x = 1/2