Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "26.5" was replaced by "(265/10)". 3 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 :

                c/(1/10)-(25/10)-((265/10))=0 

Step by step solution :

Step  1  :

            53
 Simplify   ——
            2 

Equation at the end of step  1  :

   c1    25     53
  (—— -  ——) -  ——  = 0 
   10    10     2 

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

   c1    5     53
  (—— -  —) -  ——  = 0 
   10    2     2 

Step  3  :

             1
 Simplify   ——
            10

Equation at the end of step  3  :

   c1    5     53
  (—— -  —) -  ——  = 0 
   10    2     2 

Step  4  :

                 1
 Divide  c  by  ——
                10

Equation at the end of step  4  :

          5     53
  (10c -  —) -  ——  = 0 
          2     2 

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a fraction from a whole

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

            10c     10c • 2
     10c =  ———  =  ———————
             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 :

 5.2       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:

 10c • 2 - (5)     20c - 5
 —————————————  =  ———————
       2              2   

Equation at the end of step  5  :

  (20c - 5)    53
  ————————— -  ——  = 0 
      2        2 

Step  6  :

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   20c - 5  =   5 • (4c - 1) 

Adding fractions which have a common denominator :

 7.2       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:

 5 • (4c-1) - (53)     20c - 58
 —————————————————  =  ————————
         2                2    

Step  8  :

Pulling out like terms :

 8.1     Pull out like factors :

   20c - 58  =   2 • (10c - 29) 

Equation at the end of step  8  :

  10c - 29  = 0 

Step  9  :

Solving a Single Variable Equation :

 9.1      Solve  :    10c-29 = 0 

 Add  29  to both sides of the equation : 
                      10c = 29
Divide both sides of the equation by 10:
                     c = 29/10 = 2.900

One solution was found :