Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)".

Rearrange:

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

                (15/10)*(2*x-4)-(2*(4*x+2))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   4x + 2  =   2 • (2x + 1) 

Equation at the end of step  2  :

   15                
  (—— • (2x - 4)) -  4 • (2x + 1)  = 0 
   10                

Step  3  :

            3
 Simplify   —
            2

Equation at the end of step  3  :

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

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2x - 4  =   2 • (x - 2) 

Equation at the end of step  5  :

  3 • (x - 2) -  4 • (2x + 1)  = 0 

Step  6  :

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   -5x - 10  =   -5 • (x + 2) 

Equation at the end of step  7  :

  -5 • (x + 2)  = 0 

Step  8  :

Equations which are never true :

 8.1      Solve :    -5   =  0

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

Solving a Single Variable Equation :

 8.2      Solve  :    x+2 = 0 

 Subtract  2  from both sides of the equation : 
                      x = -2

One solution was found :