find x. a\x-a+b\x-b=2c\x-c.
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a/(x-a) +b/(x-b)=2c/(x-c)
=>a/(x-a) -c/(x-c)=c/(x-c)-b/(x-b)
=>{a(x-c)-c(x-a)}/(x-a)={c(x-b)-b(x-c)}/(x-b)
=>(a-c)x/(x-a)=(c-b)x/(x-b)
=>(a-c)(x-b)=(c-b)(x-a)
=>{(a-c)-(c-b)}x=b(a-c)-a(c-b)
=>(a+b-2c)x=(ba-bc-ac+ab)
=>x={-(a+b)c+2ab}/(a+b-2c)
=>a/(x-a) -c/(x-c)=c/(x-c)-b/(x-b)
=>{a(x-c)-c(x-a)}/(x-a)={c(x-b)-b(x-c)}/(x-b)
=>(a-c)x/(x-a)=(c-b)x/(x-b)
=>(a-c)(x-b)=(c-b)(x-a)
=>{(a-c)-(c-b)}x=b(a-c)-a(c-b)
=>(a+b-2c)x=(ba-bc-ac+ab)
=>x={-(a+b)c+2ab}/(a+b-2c)
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