Question 57435
2-4x+7x+8<6x-5x
2+8-4x+7x<6x-5x
10+3x<x
10+3x-3x<x-3x
10<-2x  When you multiply or divide by a negative number you have to flip the inequality sign.
10/-2>-2x/-2
-5>x
:
Write it with the variable on the left, it makes graphing and interval notation easier to do.  Make sure the inequality symbol is still opening towards the same number.
x>-5
That might be all you need, you didn't specify.
Interval notation (-5,infinity)
<---(==================>>
-6,-5,-4,-3,-2,-1,0,1
Happy Calculating!!!