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3x+5-4x>-2
Subtract 4x from both sides.
-x+5>-2
Combine 3x and -4x to get -x.
-x>-2-5
Subtract 5 from both sides.
-x>-7
Subtract 5 from -2 to get -7.
x<\frac{-7}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x<7
Fraction \frac{-7}{-1} can be simplified to 7 by removing the negative sign from both the numerator and the denominator.