Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)".

Rearrange:

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

                     -(25/10)*(4*x-4)-(-6)=0 

Step by step solution :

Step  1  :

            5
 Simplify   —
            2

Equation at the end of step  1  :

         5                 
  (0 -  (— • (4x - 4))) -  -6  = 0 
         2                 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   4x - 4  =   4 • (x - 1) 

Equation at the end of step  3  :

  (0 -  10 • (x - 1)) -  -6  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   16 - 10x  =   -2 • (5x - 8) 

Equation at the end of step  5  :

  -2 • (5x - 8)  = 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  :    5x-8 = 0 

 Add  8  to both sides of the equation : 
                      5x = 8
Divide both sides of the equation by 5:
                     x = 8/5 = 1.600

One solution was found :