8. Solve for x and check

 

 

In this case, clearing denominators amounts to cross multiplying.

 

 

Remove parentheses.

 

 

Transpose known terms to one side and unknown terms to the other.

 

 

 

Combine.

 

 

 

Divide both sides by the coefficient of the unknown.

 

 

 

Check: Copy down the original equation

 

 

 

except where there is an x, copy down the solution in parentheses.

 

 

This gives us an interesting order of operations problem. Perform the multiplications in the bottoms first.

 

 

Next are the addition and subtraction in the bottoms.

For this we will need common denominators.

 

 

 

We can now invert and multiply.

 

 

which checks.

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