Question

Solve for x: x/a-x-a-x/x=a/x
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ANSWER {2a/3}

Answer 1

\[\frac{ x }{ a-x }-\frac{ a-x }{ x }=\frac{ a }{ x }\]

Answer 2

multiply everything by x*(a-x) and tell me what oyu get

Answer 3

you get*

Answer 4

=> (x-a+a)/(a-x) - (a/x - x/x) = a/x
=>( (x-a)/(a-x) ) + a/(a-x) - a/x -1 =a/x
=>-1 + a/(a-x) -1 = 2a/x
=>a/(a-x) = 2a/x + 2

easier to cross multiply now..though cross multiplying in the initial most condition wouldnt have made much difference either..just would have been lengthy..

Answer 5

x/(a-x) -(a/x -x/x)=a/x
or x/(a-x) -a/x+1=a/x
or(x+a-x)/(a-x) = a/x+a/x
or a/(a-x)=2a/x
or 2(a-x)=x
or 2a-2x=x
or 2a=3x
or x=2a/3