Long-answer type questions (L.A.)
`(1)/(x)-(1)/(x+b)=(1)/(a)-(1)/(a+b)(xne0,-b)`

Explanation

`(1)/(x)-(1)/(x+b)=(1)/(a)-(1)/(a+b)(xne0,-b)`
or, `(x+b-x)/(x(x+b))=(a+b-a)/(a(a+b))" "or,x^(2)+bx=a^(2)+ab`
or, `(1)/(x(x+b))=(1)/(a(a+b))" "or,x^(2)+bx=a^(2)+ab`
or, `x^(2)-a^(2)+bx-ab=0" "or,(x+a)(x-a)+b(x-a)=0`
or, `(x-a)(x+a+b)=0`
`:.` either x-a=0" "or,x+a+b=0
`impliesx=a" "impliesx=-(a+b)`
Hence the required solutions are x=a and x=-(a+b).