37 - 3x
 ———————
     x   Â
Step-by-step explanation:
Step  1  :
         1
Simplify  —
         x
Equation at the end of step  1  :
  5 1  32   1
 (((—-—)+——)-3)+—
  x x  x    x
Step  2  :
      32
Simplify  ——
      x
Equation at the end of step  2  :
  5 1  32   1
 (((—-—)+——)-3)+—
  x x  x    x
Step  3  :
      1
Simplify  —
      x
Equation at the end of step  3  :
  5   1   32      1
 (((— -  —) +  ——) -  3) +  —
  x   x   x       x
Step  4  :
        5
Simplify  —
         x
Equation at the end of step  4  :
  5   1   32      1
 (((— -  —) +  ——) -  3) +  —
  x   x   x       x
Step  5  :
Adding fractions which have a common denominator :
5.1 Â Â Â Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5 - (1) Â Â 4
———————  =  —
  x     x
Equation at the end of step  5  :
  4   32      1
 ((— +  ——) -  3) +  —
  x   x       x
Step  6  :
Adding fractions which have a common denominator :
6.1 Â Â Â Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 + 32 Â Â 36
——————  =  ——
 x     x
Equation at the end of step  6  :
 36      1
 (—— -  3) +  —
 x      x
Step  7  :
Rewriting the whole as an Equivalent Fraction :
7.1 Â Subtracting a whole from a fraction
Rewrite the whole as a fraction using  x  as the denominator :
    3   3 • x
  3 =  —  =  —————
    1    x Â
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
7.2 Â Â Â Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
36 - (3 • x)   36 - 3x
————————————  =  ———————
   x        x Â
Equation at the end of step  7  :
 (36 - 3x)   1
 ————————— +  —
   x     x
Step  8  :
Step  9  :
Pulling out like terms :
9.1 Â Â Pull out like factors :
 36 - 3x  =  -3 • (x - 12)
Adding fractions which have a common denominator :
9.2 Â Â Â Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-3 • (x-12) + 1   37 - 3x
———————————————  =  ———————
    x        x Â
Final result :
  37 - 3x
 ———————
     x Â
Processing ends successfully
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