Changing the Subject of a Simple Rational Algebraic Fraction

Suppose it required to make  
  the subject of the formula  

Start by clearing the fraction (multiplying by  


We are to make  
  the subject so need to move all the terms containing  
  to the same side of the equals sign, and all other terms to the other side.

Now factorise with  


Finally divide by the coefficient of  
\[x, \: 4x-2\]

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