Question 1105618
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It's not clear what we are solving for....<br>
{{{-((x-a)/(a-b))-((x+b)/(a+b))=(2a(x-b))/(a^2-b^2)+((a-b)/(a+b))}}}<br>
The common denominator is {{{a^2-b^2}}} = {{{(a+b)(a-b)}}}.<br>
Multiply the whole equation by the common denominator to clear fractions; simplify the resulting equation and see where it leads you....<br>
Everything simplifies nicely; but I'm not sure if the result we get is what we are being asked to "solve" for.