SOLUTION: Please help, Solve for x: -3(x + 1) - x/2 + 3/2 < 0

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Question 678515: Please help,
Solve for x: -3(x + 1) - x/2 + 3/2 < 0

Found 2 solutions by ReadingBoosters, MathLover1:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Distribute the -3
-3x - 3 - x/2 + 3/2 < 0
...
Multiply the entire equation by 2 to be rid of the fractions
2(-3x) - 2(3) - 2(x/2) + 2(3/2) < 2(0)
-6x - 6 - x + 3 < 0
-7x - 3 < 0
-7x < 3
Divide both sides by -7 ***note the sign change for dividing by a negative***
highlight_green%28x+%3E+-3%2F7%29

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Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

++-3%28x+%2B+1%29+-+x%2F2+%2B+3%2F2+%3C+0........both sides multiply by 2 to eliminate fraction

++2%2A-3%28x+%2B+1%29+-+2%2Ax%2F2+%2B+2%2A3%2F2+%3C+0%2A2

++-6%28x+%2B+1%29+-+x+%2B+3%3C+0

++-6x+-6+-+x+%2B+3%3C+0
++-7x+-3%3C+0
++-3%3C+7x
or
+7x%3E-3
+x%3E-3%2F7