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*(x-1)-(2*(6-2*x))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   6 - 2x  =   -2 • (x - 3) 

Equation at the end of step  2  :

  (4 • (x - 1)) -  -4 • (x - 3)  = 0 

Step  3  :

Equation at the end of step  3  :

  4 • (x - 1) -  -4 • (x - 3)  = 0 

Step  4  :

Pulling out like terms :

 4.1      Pull out     4 

Note that  -4 =(-1)• 4 
After pulling out, we are left with :
      4 • ( (-1)  *  (x-1) +( (-1)  *  (x-3) ))

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   4 - 2x  =   -2 • (x - 2) 

Equation at the end of step  5  :

  -8 • (x - 2)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    -8   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    x-2 = 0 

 Add  2  to both sides of the equation : 
                      x = 2

One solution was found :