Solve for x
x>-\frac{3}{4}
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2x-6<3\left(2x+1\right)-6
Use the distributive property to multiply 2 by x-3.
2x-6<6x+3-6
Use the distributive property to multiply 3 by 2x+1.
2x-6<6x-3
Subtract 6 from 3 to get -3.
2x-6-6x<-3
Subtract 6x from both sides.
-4x-6<-3
Combine 2x and -6x to get -4x.
-4x<-3+6
Add 6 to both sides.
-4x<3
Add -3 and 6 to get 3.
x>-\frac{3}{4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
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