Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.5" was replaced by "(5/10)".

Rearrange:

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

                     (5/10)*(4*x-6)-(21)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

   1                
  (— • (4x - 6)) -  21  = 0 
   2                

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   4x - 6  =   2 • (2x - 3) 

Equation at the end of step  3  :

  (2x - 3) -  21  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2x - 24  =   2 • (x - 12) 

Equation at the end of step  5  :

  2 • (x - 12)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    x-12 = 0 

 Add  12  to both sides of the equation : 
                      x = 12

One solution was found :