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Rearrange y=(2(x-a))/(x) to make x the subject

Rearrange y=2(x−a)x y=\frac{2(x-a)}{x} to make x x the subject

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Full solution

Q. Rearrange y=2(x−a)x y=\frac{2(x-a)}{x} to make x x the subject
  1. Eliminate fraction by multiplication: Multiply both sides of the equation by xx to eliminate the fraction.\newliney=2(x−a)xy = \frac{2(x - a)}{x}\newliney⋅x=2(x−a)y \cdot x = 2(x - a)
  2. Distribute yy into xx: Distribute yy into the xx on the left side of the equation.yx=2x−2ayx = 2x - 2a
  3. Move terms with xx: Move all terms containing xx to one side of the equation.yx−2x=−2ayx - 2x = -2a
  4. Factor out xx: Factor out xx from the left side of the equation.x(y−2)=−2ax(y - 2) = -2a
  5. Divide by (y−2)(y - 2): Divide both sides of the equation by (y−2)(y - 2) to solve for xx.x=−2a(y−2)x = \frac{-2a}{(y - 2)}

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