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 :

                2*z-2-(3*(z-1)-5*(6-2*z))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   6 - 2z  =   -2 • (z - 3) 

Equation at the end of step  2  :

  (2z - 2) -  ((3 • (z - 1)) -  -10 • (z - 3))  = 0 

Step  3  :

Equation at the end of step  3  :

  (2z - 2) -  (3 • (z - 1) -  -10 • (z - 3))  = 0 

Step  4  :

Equation at the end of step  4  :

  31 - 11z  = 0 

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    -11z+31 = 0 

 Subtract  31  from both sides of the equation : 
                      -11z = -31
Multiply both sides of the equation by (-1) :  11z = 31


Divide both sides of the equation by 11:
                     z = 31/11 = 2.818

One solution was found :