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 :

                -3*(x-1)+8*(x-3)-(6*x+7-5*x)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  ((0-(3•(x-1)))+8•(x-3))-(x+7)  = 0 

Step  2  :

Equation at the end of step  2  :

  ((0-3•(x-1))+8•(x-3))-(x+7)  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   4x - 28  =   4 • (x - 7) 

Equation at the end of step  4  :

  4 • (x - 7)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    4   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    x-7 = 0 

 Add  7  to both sides of the equation : 
                      x = 7

One solution was found :