SOLUTION: Solve -3x + 14 - x < 56 + 3x

Algebra ->  Inequalities -> SOLUTION: Solve -3x + 14 - x < 56 + 3x       Log On


   

Question 315600: Solve -3x + 14 - x < 56 + 3x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-3x%2B14-x%3C56%2B3x Start with the given inequality.


-4x%2B14%3C56%2B3x Combine like terms on the left side.


-4x%3C56%2B3x-14 Subtract 14 from both sides.


-4x-3x%3C56-14 Subtract 3x from both sides.


-7x%3C56-14 Combine like terms on the left side.


-7x%3C42 Combine like terms on the right side.


x%3E%2842%29%2F%28-7%29 Divide both sides by -7 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-6 Reduce.


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

Answer:

So the solution is x%3E-6