SOLUTION: Please Solve:{{{ ( x + a - b) /(x + b+ c) = (x + b - c) / ( x + a + b) }}}

Algebra ->  Equations -> SOLUTION: Please Solve:{{{ ( x + a - b) /(x + b+ c) = (x + b - c) / ( x + a + b) }}}       Log On


   

Question 973559: Please Solve:+%28+x+%2B+a+-+b%29+%2F%28x+%2B+b%2B+c%29+=+%28x+%2B+b+-+c%29+%2F+%28+x+%2B+a+%2B+b%29+
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
One would assume you want to solve for x. You could avoid writing and rewriting so many symbols through use of substitutions at the beginning, and solve for x, and try to do all the rest of calculation at the end.

%28x%2Bm%29%2F%28x%2Bn%29=%28x%2Bp%29%2F%28x%2Br%29, accordingly assigned by corresponding places.

%28x%2Bm%29%28x%2Br%29=%28x%2Bn%29%28x%2Bp%29

x%5E2%2Bmx%2Brx%2Bmr=x%5E2%2Bnx%2Bpx%2Bnp
Subtract x%5E2 from both sides.

mx%2Brx%2Bmr=nx%2Bpx%2Bnp

%28m%2Br%29x%2Bmr=%28n%2Bp%29x%2Bnp

%28m%2Br%29x-%28n%2Bp%29x=-mr%2Bnp

%28m%2Br-n-p%29x=np-mr

highlight_green%28x=%28np-mr%29%2F%28m%2Br-n-p%29%29
Now, substitute back for m, n, p, and r; and simplify as much as possible.
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The assignments were:
system%28m=a-b%2Cn=b%2Bc%2Cp=b-c%2Cr=a%2Bb%29