Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.2" was replaced by "(22/10)". 2 more similar replacement(s)

Rearrange:

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

                     (62/10)-((22/10)+x)=0 

Step by step solution :

Step  1  :

            11
 Simplify   ——
            5 

Equation at the end of step  1  :

  62     11    
  —— -  (—— +  x)  = 0 
  10     5     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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 :

 2.2       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:

 11 + x • 5     5x + 11
 ——————————  =  ———————
     5             5   

Equation at the end of step  2  :

  62    (5x + 11)
  —— -  —————————  = 0 
  10        5    

Step  3  :

            31
 Simplify   ——
            5 

Equation at the end of step  3  :

  31    (5x + 11)
  —— -  —————————  = 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:

 31 - ((5x+11))     20 - 5x
 ——————————————  =  ———————
       5               5   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   20 - 5x  =   -5 • (x - 4) 

Equation at the end of step  5  :

  4 - x  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    -x+4 = 0 

 Subtract  4  from both sides of the equation : 
                      -x = -4
Multiply both sides of the equation by (-1) :  x = 4

One solution was found :