$\;{x - 3}/{4}$ + $\;{x + 1}/{8}$ $≥$ 2
multiply through by the LCM of 4, 8, and 1 = 8
8($\;{x - 3}/{4}$) + 8($\;{x + 1}/{8}$) $≥$ 8 x 2
2(x - 3) + (x + 1) $≥$ 16
2x - 6 + x + 1 $≥$ 16
3x - 5 $≥$ 16
3x $≥$ 16 + 5 = 21
x $≥$ $\;{21}/{3}$
x $≥$ 7
