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 :

                2*z+20-3*z-((15/10)*(6*z+4))=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            2

Equation at the end of step  1  :

               3
  (20 - z) -  (— • (6z + 4))  = 0 
               2

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   6z + 4  =   2 • (3z + 2) 

Equation at the end of step  3  :

  (20 - z) -  3 • (3z + 2)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   14 - 10z  =   -2 • (5z - 7) 

Equation at the end of step  5  :

  -2 • (5z - 7)  = 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  :    5z-7 = 0 

 Add  7  to both sides of the equation : 
                      5z = 7
Divide both sides of the equation by 5:
                     z = 7/5 = 1.400

One solution was found :