Make x subject of formula in a/x -1=b/2x

1 answer

To make x the subject of the formula in a/x - 1 = b/2x, we can follow the steps below:

Step 1: Multiply both sides of the equation by 2x to remove the denominators:

2x * (a/x - 1) = 2x * (b/2x)

This simplifies to:
2a - 2x = b

Step 2: Move -2x to the other side of the equation:

2a = b + 2x

Step 3: Move b to the other side of the equation:

2a - b = 2x

Step 4: Divide both sides of the equation by 2 to solve for x:

(2a - b)/2 = x

Therefore, x = (2a - b)/2.