Question 974083
s + s+t/s-t = 1/t + s+t/s-t , for t

Is this clear?
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Much better.
s + s+t/s-t = 1/t + s+t/s-t
The addition of parentheses eliminates ambiguities:
{{{s + s+t/s-t = 1/t + s+t/s-t}}}  As entered.
{{{s + (s+t)/(s-t) = 1/t + (s+t)/(s-t)}}}  Probably what you meant.
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Multiply thru by s-t
s(s-t) + s+t = (s-t)/t + s+t
Subtract (s+t)
s(s-t) = (s-t)/t
Divide by (s-t)
s = 1/t
t = 1/s
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There are restrictions:  t <> 0, s <> 0 and t <> s, makes the denominator zero.