Rather than do your problem for you, I will instead do one 
EXACTLY like yours, step by step.  Instead of yours I will 
do this one:



We factor the denominator and set up for partial fractions:

}

Clear fractions:





Equate the coefficients of x:



Equate the constant terms



Solve the system of equations by substitution:



A=5-3B,       4A-B=7
         4(5-3B)-B=7 
          20-12B-B=7
            20-13B=7
              -13B=-13
                 B=1

A=5-3(1)
A=5-3
A=2

}







 

Edwin