SOLUTION: How would I solve for this rational equation: x-3/3 is less than or equal to 2+(x/2) I tried working it like this but I am not too sure it is right. 6*(x-3/3) is less than or equ

Question 781151: How would I solve for this rational equation: x-3/3 is less than or equal to 2+(x/2)
I tried working it like this but I am not too sure it is right.
6*(x-3/3) is less than or equal to 6*(2+(x/2))
6x-18 is less than/equal to 12+6x
-18 is less than or equal to 12
Im just not sure if that's right. If you could help me that would be great because I am also struggling with another similar problem so I would appreciate it if you could help me out. Thanks
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
x-3/3 is less than or equal to 2+(x/2)
multiply by 6
6x -18/3 < or = 12 +6x/2
6x -6 < or = 12 +3x
add 6 to both sides
6x < or = 18 +3x
subtract 3x from both sides
3x < or = 18
x < or = 6
notice that we did not have to multiply or divide by a negative number so the direction of the < stayed the same

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