Question 663467
Just in case you are yet in need of understanding or a solution.
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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
{{{(cross(9)n)/cross(9) = 3/9}}}
n = {{{3/9 = 1/3}}}
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Second equation
{{{1/2}}}x - 3 = 2 - {{{3/4}}}x
Group like terms
{{{1/2}}}x + {{{3/4}}}x = 2 + 3 
Establish common denominators
{{{(1/2)}}}x{{{(2/2)}}} + {{{3/4}}}x = 5
{{{2/4}}}x + {{{3/4}}}x = 5
{{{5/4}}}x = 5
Multiply both sides by 4
{{{(5/cross(4))}}}x{{{(cross(4)) = 5(4)}}}
5x = 20
Divide both sides by 5
{{{(cross(5)x/cross(5))}}} = {{{20/5}}}
x = 4
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