SOLUTION: 2(x-14)-x<7(x+2)+x<or=tox+70

Algebra ->  Algebra  -> Inequalities -> SOLUTION: 2(x-14)-x<7(x+2)+x<or=tox+70      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 131142: 2(x-14)-x<7(x+2)+x
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

2%28x-14%29-x%3C7%28x%2B2%29%2Bx Start with the given inequality



2x-28-1x%3C7x%2B14%2B1x Distribute


x-28%3C7x%2B14%2Bx Combine like terms on the left side


x-28%3C8x%2B14 Combine like terms on the right side


x%3C8x%2B14%2B28Add 28 to both sides


x-8x%3C14%2B28 Subtract 8x from both sides


-7x%3C14%2B28 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, dividing both sides by a negative number flips the inequality sign)



x%3E-6 Divide

--------------------------------------------------------------
Answer:
So our answer is x%3E-6