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-6x-14+2x<10
Add 2x to both sides.
-4x-14<10
Combine -6x and 2x to get -4x.
-4x<10+14
Add 14 to both sides.
-4x<24
Add 10 and 14 to get 24.
x>\frac{24}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x>-6
Divide 24 by -4 to get -6.