-2x+12 < 4x-17.


To solve this inequality, first add 2x to both sides.
You will get an equivalent inequality

12 < 4x + 2x - 17,  or

12 < 6x -17.


Next step is to add 17 to both sides. You will get an equivalent inequality

12 + 17 < 6x,  or

29 < 6x.


Now divide both sides by 6. You will get an equivalent inequality

x > .


It is your final solution.