SOLUTION: Solve {{{30/x=50/x+10+1/2}}} for x.

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Question 184966: Solve 30%2Fx=50%2Fx%2B10%2B1%2F2 for x.
Answer by SandyBeach(2) About Me  (Show Source):
You can put this solution on YOUR website!
Start by changing 10 + 1/2 to a improper fraction.
30%2Fx=50%2Fx%2B10%2B1%2F2
30%2Fx=50%2Fx%2B10%2A%282%2F2%29%2B1%2F2
30%2Fx=50%2Fx%2B%2820%2F2%29%2B1%2F2
30%2Fx=50%2Fx%2Bhighlight%2821%2F2%29
Then, multiply both sides of the equation by x, to get x out of the denominator.
x%2A%2830%2Fx%29=x%2A%2850%2Fx%2B21%2F2%29
Distribute x on the right hand side of the equation.
x%2A%2830%2Fx%29=%28x%2A50%2Fx%2Bx%2A21%2F2%29
cross%28x%29%2A%2830%2Fcross%28x%29%29=%28cross%28x%29%2A50%2Fcross%28x%29%2Bx%2A21%2F2%29
30=50%2B21x%2F2
Subtract 50 from each side.
30-highlight%2850%29=50-highlight%2850%29%2B21x%2F2
-20=21x%2F2
Multiply both sides by 2.
-20%2Ahighlight%282%29=21x%2Ahighlight%282%29%2F2
-40=21x
Divide by both sides by 21.
-40%2F21=21x%2F21
highlight%28x=-40%2F21%29