SOLUTION: how do i solve x+2<2(-6x+1)-3

Algebra ->  Inequalities -> SOLUTION: how do i solve x+2<2(-6x+1)-3      Log On


   

Question 273733: how do i solve x+2<2(-6x+1)-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B2%3C2%28-6x%2B1%29-3 Start with the given inequality.


x%2B2%3C-12x%2B2-3 Distribute.


x%2B2%3C-12x-1 Combine like terms on the right side.


x%3C-12x-1-2 Subtract 2 from both sides.


x%2B12x%3C-1-2 Add 12x to both sides.


13x%3C-1-2 Combine like terms on the left side.


13x%3C-3 Combine like terms on the right side.


x%3C%28-3%29%2F%2813%29 Divide both sides by 13 to isolate x.


----------------------------------------------------------------------

Answer:

So the solution is x%3C-3%2F13