2. Solve for x and check.

 

 

This is a rational equation, and we will run through the steps

for solving rational equations. First clear denominators. Multiply both

sides by a common denominator. The smallest common denominator

is 12. Multiply both sides by 12.

 

 

Remove parentheses.

 

 

 

Assemble the surviving factors.

 

 

Transpose

 

 

Combine

 

 

Check

 

Copy down the original equation

 

 

except that wherever you see an x substitute the solution in

parentheses.

 

 

This simplifies to

 

 

or

 

 

which checks

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