SOLUTION: what does x equal 4 divide by x+3-(1 divide by x) equals 5 divide by x times (x+3)

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Question 664037: what does x equal
4 divide by x+3-(1 divide by x) equals 5 divide by x times (x+3)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%28x%2B3%29-%281%2Fx%29=5+%2F%28+x+%28x%2B3%29%29

%284%2Ax-1%28x%2B3%29%29%2Fx%28x%2B3%29=5+%2F%28+x+%28x%2B3%29%29...denominators are same, and when we cross multiply they will cancel each other; so we can solve for x using only nominators
%284x-1%28x%2B3%29%29=5+%29
4x-x-3=5
3x=5%2B3+
3x=8
x=8%2F3
x=2.6666666666666666666666666666667
x=2.66

check:
4%2F%28x%2B3%29-%281%2Fx%29=5+%2F%28+x+%28x%2B3%29%29

4%2F%282.66%2B3%29-%281%2F2.66%29=5+%2F%28+2.66+%282.66%2B3%29%29

4%2F%285.66%29-%281%2F2.66%29=5+%2F%28+2.66+%285.66%29%29
0.7058-0.375=5+%2F%2815.11%29

0.7058-0.375=0.33

0.33=0.33