SOLUTION: solve the inequality 8-(1-3x)>2(1+6x)

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Question 678425: solve the inequality 8-(1-3x)>2(1+6x)
Answer by Adrianne15(25) About Me  (Show Source):
You can put this solution on YOUR website!
First you should get rid of all of the brackets, to simplify the inequality.
8-1%2B3x+%3E+2%2B12x (I used distributive property. Remember to watch how signs change when you have negative numbers, etc, in brackets.)
7%2B3x+%3E+2+%2B12x+(Combine like terms)
7-2%3E12x-3x (move variable to one side, numbers to the other.)
5%3E9x (combine like terms)
5%2F9%3Ex(Find x)
And that's how you do it.
Now you can test that by finding any number less than 5%2F9 to test out and plug back into the equation. Let's do 1%2F3.
8-%281-3x%29%3E2%281%2B6x%29
8-1%2B3x+%3E+2%2B12x
Substituting x: 7%2B3%281%2F3%29%3E2%2B12%281%2F3%29
7%2B1%3E2%2B4
Is 8%3E6? Yes.
Since this is correct, you know your answer is correct.