Solve for x
x>-\frac{5}{2}
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6x-16-12x<2x+4
Use the distributive property to multiply -4 by 4+3x.
-6x-16<2x+4
Combine 6x and -12x to get -6x.
-6x-16-2x<4
Subtract 2x from both sides.
-8x-16<4
Combine -6x and -2x to get -8x.
-8x<4+16
Add 16 to both sides.
-8x<20
Add 4 and 16 to get 20.
x>\frac{20}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x>-\frac{5}{2}
Reduce the fraction \frac{20}{-8} to lowest terms by extracting and canceling out 4.
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Limits
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