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x+2<10x+40
Use the distributive property to multiply 5 by 2x+8.
x+2-10x<40
Subtract 10x from both sides.
-9x+2<40
Combine x and -10x to get -9x.
-9x<40-2
Subtract 2 from both sides.
-9x<38
Subtract 2 from 40 to get 38.
x>-\frac{38}{9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.