Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)".

Rearrange:

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

                (25/10)*(4*k+2)-(12*k)=0 

Step by step solution :

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

   5                
  (— • (4k + 2)) -  12k  = 0 
   2                

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   4k + 2  =   2 • (2k + 1) 

Equation at the end of step  3  :

  5 • (2k + 1) -  12k  = 0 

Step  4  :

Equation at the end of step  4  :

  5 - 2k  = 0 

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    -2k+5 = 0 

 Subtract  5  from both sides of the equation : 
                      -2k = -5
Multiply both sides of the equation by (-1) :  2k = 5


Divide both sides of the equation by 2:
                     k = 5/2 = 2.500

One solution was found :