SOLUTION: Solve for x, {{{((a-x)/(a-b))-2=(c-x)/(b-c)}}}. Here's my working, if you could correct me I'd be very grateful. Thanks in advance! {{{(a-x)(b-c)-2(a-b)=(c-x)(a-b)}}} {{{cx-bx-

Algebra ->  Equations -> SOLUTION: Solve for x, {{{((a-x)/(a-b))-2=(c-x)/(b-c)}}}. Here's my working, if you could correct me I'd be very grateful. Thanks in advance! {{{(a-x)(b-c)-2(a-b)=(c-x)(a-b)}}} {{{cx-bx-      Log On


   



Question 696803: Solve for x, %28%28a-x%29%2F%28a-b%29%29-2=%28c-x%29%2F%28b-c%29. Here's my working, if you could correct me I'd be very grateful. Thanks in advance!
%28a-x%29%28b-c%29-2%28a-b%29=%28c-x%29%28a-b%29
cx-bx-ab-2b%5E2-ac=ca%2Bbx-ax-bc
-2b%5E2-ab%2Bcx-bx-3ac=ac_bx-ax-bc
-2b%5E2-ab%2Bcx-2bx-2ac%2Bbc%2Bax=0
x%28c-2b%2Ba%29=2b%5E2%2Bab%2B2ac-bc
x=%282b%5E2%2Bab%2B2ac-bc%29%2F%28c-2b%2Ba%29
Apparently the answer is x=b?? =(

Found 2 solutions by god2012, nerdybill:
Answer by god2012(113) About Me  (Show Source):
You can put this solution on YOUR website!
Given : %28%28a-x%29%2F%28a-b%29%29-2=%28c-x%29%2F%28b-c%29
Solution:
%28%28a-x%29-+2%28a-b%29%29%2F+%28a-b%29=%28c-x%29%2F%28b-c%29
+%28a-x-2a%2B2b%29%2A%28b-c%29+=+%28c-x%29%28a-b%29
+%282b-a-x%29%28b-c%29+=+ac-ax-bc%2Bbx
+2b%5E2-ab-bx-2bc%2Bac%2Bcx+=+ac-ax-bc%2Bbx
Taking out the common factors from both sides : ac
+2b%5E2-ab-bx-2bc%2Bcx%2Bax%2Bbc-bx+=+0
2b%5E2-2bx%2Bax%2Bcx-ab-bc+=+0
2b%5E2%2Bx%28a%2Bc-2b%29+=+ab%2Bbc
x%28a%2Bc-2b%29=+ab%2Bbc-2b%5E2
x%28a%2Bc-2b%29=+b%28a%2Bc-2b%29
x+=+b

Answer by nerdybill(7384) About Me  (Show Source):