SOLUTION: solve for x in terms of the other variables b(x-d)=c(x+d)

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Question 9190: solve for x in terms of the other variables
b(x-d)=c(x+d)
Answer by prince_abubu(198) About Me  (Show Source):
You can put this solution on YOUR website!
+b%28x-d%29=c%28x%2Bd%29+ <------- Start here. Your goal is to be able to say "x = " and that the x-variable does not show up on the right side of the equation.

+bx+-+bd+=+cx+%2B+cd+ <----- Distribute.

+bx+-+cx+=+bd+%2B+cd+ <------ Move the -bd to the right and the cx to the left. NOTICE that you change the signs of terms when you move them to the other side of the equals sign in EITHER direction (left to right, or right to left).

+x%28b+-+c%29+=+d%28b+%2B+c%29+ <----- factor out the x on the left side (UNdistribute). Do the same with the d on the right side.

+x+=+%28d%28b%2Bc%29%29%2F%28b-c%29+ <---- You now have the equation rearranged so that it's in x= form.