2 [ 3 x + 2 ) > 3 ( 5 x + 4 )
Solve for x
x<-\frac{8}{9}
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6x+4>3\left(5x+4\right)
Use the distributive property to multiply 2 by 3x+2.
6x+4>15x+12
Use the distributive property to multiply 3 by 5x+4.
6x+4-15x>12
Subtract 15x from both sides.
-9x+4>12
Combine 6x and -15x to get -9x.
-9x>12-4
Subtract 4 from both sides.
-9x>8
Subtract 4 from 12 to get 8.
x<-\frac{8}{9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.
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