Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.2" was replaced by "(2/10)".

Rearrange:

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

                (2/10)*(10-5*c)-(5*c-16)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            5

Equation at the end of step  1  :

   1                 
  (— • (10 - 5c)) -  (5c - 16)  = 0 
   5                 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   10 - 5c  =   -5 • (c - 2) 

Equation at the end of step  3  :

  (2 - c) -  (5c - 16)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   18 - 6c  =   -6 • (c - 3) 

Equation at the end of step  5  :

  -6 • (c - 3)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    -6   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    c-3 = 0 

 Add  3  to both sides of the equation : 
                      c = 3

One solution was found :