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 :

                     5*(-2-3*n)-(-33+8*n)=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -2 - 3n  =   -1 • (3n + 2) 

Equation at the end of step  2  :

  -5 • (3n + 2) -  (8n - 33)  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   23 - 23n  =   -23 • (n - 1) 

Equation at the end of step  4  :

  -23 • (n - 1)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    -23   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    n-1 = 0 

 Add  1  to both sides of the equation : 
                      n = 1

One solution was found :