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 :

                     3*x/2-7-(x/2)=0 

Step by step solution :

Step  1  :

            x
 Simplify   —
            2

Equation at the end of step  1  :

        x           x
  ((3 • —) -  7) -  —  = 0 
        2           2

Step  2  :

            x
 Simplify   —
            2

Equation at the end of step  2  :

        x           x
  ((3 • —) -  7) -  —  = 0 
        2           2

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

         7     7 • 2
    7 =  —  =  —————
         1       2  

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:

 3x - (7 • 2)     3x - 14
 ————————————  =  ———————
      2              2   

Equation at the end of step  3  :

  (3x - 14)    x
  ————————— -  —  = 0 
      2        2

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:

 (3x-14) - (x)     2x - 14
 —————————————  =  ———————
       2              2   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2x - 14  =   2 • (x - 7) 

Equation at the end of step  5  :

  x - 7  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    x-7 = 0 

 Add  7  to both sides of the equation : 
                      x = 7

One solution was found :