Twice a number decreased by eight is less than five times the number increased by ten.

X*8-5*x+10 that's the equation ...

Twice a number (2 times x) dcreased by 8 (minus 8) is less than (<) 5 times the number (5 times x) increses by 10 (plus 10)

2x-8<5x+10

subtract 2x from both sides

-8<3x+10

subtract 10 from both sides

-18<3x

divide both sides by 3

-6
the number is any number bigger than - 6