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 :

                     5*(x-1)-(5*(4*x-3))=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (5 • (x - 1)) -  5 • (4x - 3)  = 0 

Step  2  :

Equation at the end of step  2  :

  5 • (x - 1) -  5 • (4x - 3)  = 0 

Step  3  :

Pulling out like terms :

 3.1      Pull out     5 

After pulling out, we are left with :
      5 • ( 1  *  (x-1) +( (-1)  *  (4x-3) ))

Equation at the end of step  3  :

  5 • (2 - 3x)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    5   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    -3x+2 = 0 

 Subtract  2  from both sides of the equation : 
                      -3x = -2
Multiply both sides of the equation by (-1) :  3x = 2


Divide both sides of the equation by 3:
                     x = 2/3 = 0.667

One solution was found :