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Question

Solve for x: a\ax-1 + b\bx-1 = a+b

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Solution

a/ax-1 +b/bx-1 = a+b
a/ax-1 - b = a - b/bx-1
a-abx+b/ax-1=abx-a-b/bx-1
a-abx+b/-(a-abx+b)=ax-1/bx-1
-1=ax-1/bx-1
-bx+1=ax-1
-bx-ax=-1-1
-x(a+b)=-2
x=2/a+b

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