Question

(x-2)/6-[(11-x)/3-1/4]=(3x-14)/12​

Answer 1

Explanation:

$\frac{x - 2}{6} - ( \frac{11 - x}{3} - \frac{1}{4} ) = \frac{3x - 14}{12} \\ \\ \frac{x - 2}{6} - \frac{44 - 4x - 3}{12} = \frac{3x - 14}{12} \\ \\ \frac{x - 2}{6} - \frac{41 - 4x}{12} = \frac{3x - 14}{12} \\ \\ \frac{x - 2 - 41 + 4x}{24} = \frac{3x - 14}{12} \\ \\ \frac{5x - 43}{24} = \frac{3x - 14}{12} \\ \\ 12 (\frac{5x - 43}{24} ) = 3x - 14 \\ \\ 5x - 43 = 2(3x - 14) \\ \\ 5x - 43 = 6x - 28 \\ \\ 5x - 6x = - 28 + 43 \\ \\ - x = 15 \\ \\ x = - 15$