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1.5x+4-3x>7
Subtract 3x from both sides.
-1.5x+4>7
Combine 1.5x and -3x to get -1.5x.
-1.5x>7-4
Subtract 4 from both sides.
-1.5x>3
Subtract 4 from 7 to get 3.
x<\frac{3}{-1.5}
Divide both sides by -1.5. Since -1.5 is negative, the inequality direction is changed.
x<\frac{30}{-15}
Expand \frac{3}{-1.5} by multiplying both numerator and the denominator by 10.
x<-2
Divide 30 by -15 to get -2.