SOLUTION: Please help me solve this equation: {{{(6+x)/7<6-x}}}

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Question 778854: Please help me solve this equation: %286%2Bx%29%2F7%3C6-x
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
%286%2Bx%29%2F7 < 6-x

Multiply both sides by 7 to clear the fraction:

7%2Aexpr%28%286%2Bx%29%2F7%29 < 7·(6-x)

Cancel 7's on the left and distribute on the right:

cross%287%29%2Aexpr%28%286%2Bx%29%2Fcross%287%29%29 < 42-7x

6+x < 42-7x

Add 7x to both sides:

6+8x < 42

Subtract 6 from both sides:

8x < 36

Divide both sides by 8 (We do not reverse the < because 8 is positive)

8x%2F8 < 36%2F8

Cancel the 8's on the left and reduce the fraction on the right:

%28cross%288%29x%29%2Fcross%288%29 < 9%2F2

x < 9%2F2

Edwin