To solve the equation (a/x) - 1 = (b/2x) for x:
Step 1: Get rid of the denominators by multiplying through by the LCD (Least Common Denominator) of x and 2x, which is 2x.
2x * (a/x) - 2x * 1 = 2x * (b/2x)
2a - 2x = b
Step 2: Isolate the x term by subtracting 2a from both sides.
-2x = b - 2a
Step 3: Divide both sides by -2 to solve for x.
x = (2a - b) / 2
Therefore, the solution for x in terms of a and b is x = (2a - b) / 2.
a/x-1=b/2x
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