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 :

                     1/2*(4*x-8)+3*x-(36)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

    1                       
  ((— • (4x - 8)) +  3x) -  36  = 0 
    2                       

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   4x - 8  =   4 • (x - 2) 

Equation at the end of step  3  :

  (2 • (x - 2) +  3x) -  36  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   5x - 40  =   5 • (x - 8) 

Equation at the end of step  5  :

  5 • (x - 8)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    5   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    x-8 = 0 

 Add  8  to both sides of the equation : 
                      x = 8

One solution was found :