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\frac{120}{5}<5-7+x
Expand \frac{12}{0.5} by multiplying both numerator and the denominator by 10.
24<5-7+x
Divide 120 by 5 to get 24.
24<-2+x
Subtract 7 from 5 to get -2.
-2+x>24
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
x>24+2
Add 2 to both sides.
x>26
Add 24 and 2 to get 26.