For What value of ‘x’ Which Satisfies this equation, (x-a)/(x-b)=(x+a)/(x+b)​

1 thought on “For What value of ‘x’ Which Satisfies this equation, (x-a)/(x-b)=(x+a)/(x+b)​”

1. Step-by-step explanation:

   Let’s solve for a.

   x−a x−b=x+a x+b

   Step 1: Multiply both sides by -b+x−a+x=−ab+ax−bx+x2 b+x

   Step 2: Multiply both sides by b+x.

   −ab−ax+bx+x2=−ab+ax−bx+x2

   Step 3: Add ab to both sides.

   −ab−ax+bx+x2+ab=−ab+ax−bx+x2+ab

   −ax+bx+x2=ax−bx+x2

   Step 4: Add -ax to both sides.

   −ax+bx+x2+−ax=ax−bx+x2+−ax

   −2ax+bx+x2=−bx+x2

   Step 5: Add -bx to both sides.

   −2ax+bx+x2+−bx=−bx+x2+−bx

   −2ax+x2=−2bx+x2

   Step 6: Add -x^2 to both sides.

   −2ax+x2+−x2=−2bx+x2+−x2

   −2ax=−2bx

   Step 7: Divide both sides by -2x.−2ax−2x=−2bx−2xa=b

   Answer

   a=b

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