Solution - Linear equations with one unknown

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -1 - 5w  =   -1 • (5w + 1) 

Equation at the end of step  2  :

  (8 • (2w - 6)) +  -4 • (5w + 1)  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   2w - 6  =   2 • (w - 3) 

Equation at the end of step  4  :

  16 • (w - 3) +  -4 • (5w + 1)  = 0 

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   -4w - 52  =   -4 • (w + 13) 

Equation at the end of step  6  :

  -4 • (w + 13)  = 0 

Step  7  :

Equations which are never true :

 7.1      Solve :    -4   =  0

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

Solving a Single Variable Equation :

 7.2      Solve  :    w+13 = 0 

 Subtract  13  from both sides of the equation : 
                      w = -13

One solution was found :