Resoluçao
[tex3]\frac{x+a}{b}-\frac{x-b}{a}=2[/tex3]
[tex3]\frac{ab( x+a)}{b}-
\frac{ab( x-b)}{a}=2ab[/tex3]
[tex3]a( x+a) -b( x-b)=2ab[/tex3]
[tex3]ax+a^2-bx+b^2=2ab[/tex3]
[tex3]ax-bx=-a^2+2ab-b^2[/tex3]
[tex3](a-b)x=-(a^2-2ab+b^2)[/tex3]
[tex3](a-b)x=-(a-b)^2[/tex3]
[tex3]x=-\frac{(a-b)^2}{a-b} [/tex3]
[tex3]x=-(a-b)[/tex3]
[tex3]x=b-a[/tex3]
[tex3]\therefore \boxed{x=b-a}[/tex3]