Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "98.6" was replaced by "(986/10)".

Rearrange:

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

                     c-(5/9*((986/10)-32))=0 

Step by step solution :

Step  1  :

            493
 Simplify   ———
             5 

Equation at the end of step  1  :

        5    493    
  c -  (— • (——— -  32))  = 0 
        9     5     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

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

          32     32 • 5
    32 =  ——  =  ——————
          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:

 493 - (32 • 5)     333
 ——————————————  =  ———
       5             5 

Equation at the end of step  2  :

        5   333
  c -  (— • ———)  = 0 
        9    5 

Step  3  :

            5
 Simplify   —
            9

Equation at the end of step  3  :

        5   333
  c -  (— • ———)  = 0 
        9    5 

Step  4  :

Equation at the end of step  4  :

  c - 37  = 0 

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    c-37 = 0 

 Add  37  to both sides of the equation : 
                      c = 37

One solution was found :