find x in { ( x - b - c )/ a } + {( x-c-a)/ b} + { ( x - a - b ) / c } = 3
please give full solution . I will mark you brainliest . For your confirmation the ans. is (a + b + c )
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(x - b - c)/a + (x - a - b)/c + (x - c - a) / b = 3
bc(x - b - c) + ab(x - a - b) + ac(x - c - a) = 3abc
bcx - b²c - bc² + abx - a²b - ab² + acx - a²c - ac² = 3abc
abx + bcx + cax = 3abc + a²b + ab² + b²c + bc² + a²c + ac²
x(ab + bc + ac) = abc + a²b + ab²+ abc + b²c + bc²+ abc + a²c + ac²
x(ab + bc + ac) = ab(c + a + b) + bc(a + b + c) + ac(b + a + c)
x(ab + bc + ac) = (a + b + c)(ab + bc + ac)
x = (a + b + c)(ab + bc + ac)/(ab + bc + ac)
x = a + b + c
bc(x - b - c) + ab(x - a - b) + ac(x - c - a) = 3abc
bcx - b²c - bc² + abx - a²b - ab² + acx - a²c - ac² = 3abc
abx + bcx + cax = 3abc + a²b + ab² + b²c + bc² + a²c + ac²
x(ab + bc + ac) = abc + a²b + ab²+ abc + b²c + bc²+ abc + a²c + ac²
x(ab + bc + ac) = ab(c + a + b) + bc(a + b + c) + ac(b + a + c)
x(ab + bc + ac) = (a + b + c)(ab + bc + ac)
x = (a + b + c)(ab + bc + ac)/(ab + bc + ac)
x = a + b + c
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