3/4(2x-1)-5 is equal or greater than 5/4(x-3)

Solve just like an equation:

3/4 (2x-1) - 5 >= 5/4 (x-3)
3(2x-1) - 20 >= 5(x-3)
6x - 3 - 20 >= 5x - 15
6x - 23 >= 5x - 15
x >= 8

Just remember to change the direction when you multiply/divide by a negative number.