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\frac{120}{8}>x+8
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
15>x+8
Divide 120 by 8 to get 15.
x+8<15
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
x<15-8
Subtract 8 from both sides.
x<7
Subtract 8 from 15 to get 7.