Question

x- 1      + x-3=6
-----      ------
2           3

Answer 1

x - 1 ......x - 3
___ + ____ = 6
..2..............3

m.c.m = 2 x 3 = 6

3 (x - 1) - 2 (x - 3)
_____________ = 6
..............6

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

x + 3 = 36

x = 36 - 3

x = 33

Answer 2

$\frac{x - 1}{2} + \frac{x - 3}{3} = 6 \\ \frac{3(x - 1) + 2(x - 3)}{6} = 6 \\ 3x - 3 + 2x - 6 = 12 \\ 5x - 9 = 12 \\ 5x = 12 + 9 \\ x = \frac{21}{5}$