Solution - Linear equations with one unknown

Rearrange:

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

                     4*n+2-(6*(1/3*n-2/3))=0 

Step by step solution :

Step  1  :

            2
 Simplify   —
            3

Equation at the end of step  1  :

                     1         2
  (4n + 2) -  (6 • ((— • n) -  —))  = 0 
                     3         3

Step  2  :

            1
 Simplify   —
            3

Equation at the end of step  2  :

                     1         2
  (4n + 2) -  (6 • ((— • n) -  —))  = 0 
                     3         3

Step  3  :

Adding fractions which have a common denominator :

 3.1       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:

 n - (2)     n - 2
 ———————  =  —————
    3          3  

Equation at the end of step  3  :

                   (n - 2)
  (4n + 2) -  (6 • ———————)  = 0 
                      3   

Step  4  :

Equation at the end of step  4  :

  (4n + 2) -  2 • (n - 2)  = 0 

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   2n + 6  =   2 • (n + 3) 

Equation at the end of step  6  :

  2 • (n + 3)  = 0 

Step  7  :

Equations which are never true :

 7.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 7.2      Solve  :    n+3 = 0 

 Subtract  3  from both sides of the equation : 
                      n = -3

One solution was found :