Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "7.3" was replaced by "(73/10)". 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 :

           (838/10)-((86/10)*c-(73/10)*(6-2*c))=0 

Step by step solution :

Step  1  :

            73
 Simplify   ——
            10

Equation at the end of step  1  :

  838   86     73
  ———-((——•c)-(——•(6-2c)))  = 0 
  10    10     10

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   6 - 2c  =   -2 • (c - 3) 

Equation at the end of step  3  :

  838   86    -73•(c-3)
  ———-((——•c)-—————————)  = 0 
  10    10        5    

Step  4  :

            43
 Simplify   ——
            5 

Equation at the end of step  4  :

  838      43         -73 • (c - 3)
  ——— -  ((—— • c) -  —————————————)  = 0 
  10       5                5      

Step  5  :

Adding fractions which have a common denominator :

 5.1       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:

 43c - (-73 • (c-3))     116c - 219
 ———————————————————  =  ——————————
          5                  5     

Equation at the end of step  5  :

  838    (116c - 219)
  ——— -  ————————————  = 0 
  10          5      

Step  6  :

            419
 Simplify   ———
             5 

Equation at the end of step  6  :

  419    (116c - 219)
  ——— -  ————————————  = 0 
   5          5      

Step  7  :

Adding fractions which have a common denominator :

 7.1       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:

 419 - ((116c-219))     638 - 116c
 ——————————————————  =  ——————————
         5                  5     

Step  8  :

Pulling out like terms :

 8.1     Pull out like factors :

   638 - 116c  =   -58 • (2c - 11) 

Equation at the end of step  8  :

  -58 • (2c - 11)
  ———————————————  = 0 
         5       

Step  9  :

When a fraction equals zero :

 9.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

  -58•(2c-11)
  ——————————— • 5 = 0 • 5
       5     

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   -58  •  (2c-11)  = 0

Equations which are never true :

 9.2      Solve :    -58   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 9.3      Solve  :    2c-11 = 0 

 Add  11  to both sides of the equation : 
                      2c = 11
Divide both sides of the equation by 2:
                     c = 11/2 = 5.500

One solution was found :