SOLUTION: Solve the inequality for x: 2x + 8 < - 16 + 8x

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Question 283168: Solve the inequality for x: 2x + 8 < - 16 + 8x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2B8%3C-16%2B8x Start with the given inequality.


2x%3C-16%2B8x-8 Subtract 8 from both sides.


2x-8x%3C-16-8 Subtract 8x from both sides.


-6x%3C-16-8 Combine like terms on the left side.


-6x%3C-24 Combine like terms on the right side.


x%3E%28-24%29%2F%28-6%29 Divide both sides by -6 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E4 Reduce.


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Answer:

So the solution is x%3E4