SOLUTION: Solve for x in terms of a and b X-a / x+b = 1/3

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Question 1057855: Solve for x in terms of a and b
X-a / x+b = 1/3
Answer by solve_for_x(190) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that X and x are the same variable...

Multiplying both sides by 3 gives:

3(x - a) / x + b = 1

Multiplying both sides by x + b then gives:

3(x - a) = x + b

Distributing the 3 across the terms in parentheses gives:

3x - 3a = x + b

Adding 3a to both sides gives:

3x = x + 3a + b

Subtracting x from both sides then gives:

3x - x = 3a + b

2x = 3a + b

Dividing both sides by 2 then gives:

x+=+%283a+%2B+b%29%2F2