Solution - Adding, subtracting and finding the least common multiple

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     x-3/5-(12/5)=0 

Step by step solution :

Step  1  :

            12
 Simplify   ——
            5 

Equation at the end of step  1  :

        3     12
  (x -  —) -  ——  = 0 
        5     5 

Step  2  :

            3
 Simplify   —
            5

Equation at the end of step  2  :

        3     12
  (x -  —) -  ——  = 0 
        5     5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          x     x • 5
     x =  —  =  —————
          1       5  

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 :

 3.2       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:

 x • 5 - (3)     5x - 3
 ———————————  =  ——————
      5            5   

Equation at the end of step  3  :

  (5x - 3)    12
  ———————— -  ——  = 0 
     5        5 

Step  4  :

Adding fractions which have a common denominator :

 4.1       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:

 (5x-3) - (12)     5x - 15
 —————————————  =  ———————
       5              5   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   5x - 15  =   5 • (x - 3) 

Equation at the end of step  5  :

  x - 3  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    x-3 = 0 

 Add  3  to both sides of the equation : 
                      x = 3

One solution was found :