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-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.
Answer. x >
.