The value of x in the equation: `(x-b-c)/a+(x-c-a)/b+(x-a-b)/c=3` – InterviewSolution

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1.	The value of x in the equation: `(x-b-c)/a+(x-c-a)/b+(x-a-b)/c=3`
Answer» Taking LCM `(xbc-b^2c-bc^2+xac-ac^2-a^2c+xab-a^2b-ab^2)/(abc)` `x(bc+ac+ab)=b^2c+bc^2+ac^2+a^2c+a^2b+Ab^2+3abc` `x(bc+ab+ac)=bc(a+b+c)+ac(a+b+c)+ab(a+b+c)` `x(ab+bc+ca)=(a+b+c)(bc+ac+ab)` `x=a+b+c`.

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