Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.3" was replaced by "(93/10)". 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 :

                     x+(47/10)-(-(93/10))=0 

Step by step solution :

Step  1  :

            93
 Simplify   ——
            10

Equation at the end of step  1  :

        47           93
  (x +  ——) -  (0 -  ——)  = 0 
        10           10

Step  2  :

            47
 Simplify   ——
            10

Equation at the end of step  2  :

        47     -93
  (x +  ——) -  ———  = 0 
        10     10 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  10  as the denominator :

          x     x • 10
     x =  —  =  ——————
          1       10  

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 • 10 + 47     10x + 47
 ———————————  =  ————————
     10             10   

Equation at the end of step  3  :

  (10x + 47)    -93
  —————————— -  ———  = 0 
      10        10 

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:

 (10x+47) - (-93)     10x + 140
 ————————————————  =  —————————
        10               10    

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   10x + 140  =   10 • (x + 14) 

Equation at the end of step  5  :

  x + 14  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    x+14 = 0 

 Subtract  14  from both sides of the equation : 
                      x = -14

One solution was found :