SOLUTION: i need to know how to solve this equation 14 + 5n = -4n + 17 and also this equation 1/2x - 3 = 2 - 3/4x

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Question 663467: i need to know how to solve this equation 14 + 5n = -4n + 17 and also this equation 1/2x - 3 = 2 - 3/4x
Answer by ReadingBoosters(3246) About Me  (Show Source):
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First equation
14 + 5n = -4n + 17
Group like terms - get the n on one side
14 + 5n - 14 + 4n = -4n + 17 + 4n - 14
5n + 4n = 17 - 14
Combine like terms
9n = 3
Isolate n by dividing both sides by 9
%28cross%289%29n%29%2Fcross%289%29+=+3%2F9
n = 3%2F9+=+1%2F3
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Second equation
1%2F2x - 3 = 2 - 3%2F4x
Group like terms
1%2F2x + 3%2F4x = 2 + 3
Establish common denominators
%281%2F2%29x%282%2F2%29 + 3%2F4x = 5
2%2F4x + 3%2F4x = 5
5%2F4x = 5
Multiply both sides by 4
%285%2Fcross%284%29%29x%28cross%284%29%29+=+5%284%29
5x = 20
Divide both sides by 5
%28cross%285%29x%2Fcross%285%29%29 = 20%2F5
x = 4
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