2 (4x - 3) ≥ - 3 (3x) + 5x?

Treat the 'more than or equal to' sign as a '=' then work it out like an ordinary algebraic equation.

2 (4x-3) = - 3 (3x) + 5x

8x-6 = - 9x+5x

-6 = - 9x+5x-8x

-6 = - 12x

-6/-12 = x

1/2 = x

Then swap the '=' back for the other sign. This works for all of the '<' type signs