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 :

                     13*(3/4)+x-(7*(1/4))=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

         3                1
  ((13 • —) +  x) -  (7 • —)  = 0 
         4                4

Step  2  :

            3
 Simplify   —
            4

Equation at the end of step  2  :

         3           7
  ((13 • —) +  x) -  —  = 0 
         4           4

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         x     x • 4
    x =  —  =  —————
         1       4  

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:

 39 + x • 4     4x + 39
 ——————————  =  ———————
     4             4   

Equation at the end of step  3  :

  (4x + 39)    7
  ————————— -  —  = 0 
      4        4

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:

 (4x+39) - (7)     4x + 32
 —————————————  =  ———————
       4              4   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   4x + 32  =   4 • (x + 8) 

Equation at the end of step  5  :

  x + 8  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    x+8 = 0 

 Subtract  8  from both sides of the equation : 
                      x = -8

One solution was found :