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 :

                     12-(15*(z-1/5))=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            5

Equation at the end of step  1  :

                    1
  12 -  (15 • (z -  —))  = 0 
                    5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          z     z • 5
     z =  —  =  —————
          1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 z • 5 - (1)     5z - 1
 ———————————  =  ——————
      5            5   

Equation at the end of step  2  :

              (5z - 1)
  12 -  (15 • ————————)  = 0 
                 5    

Step  3  :

Equation at the end of step  3  :

  12 -  3 • (5z - 1)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   15 - 15z  =   -15 • (z - 1) 

Equation at the end of step  5  :

  -15 • (z - 1)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    -15   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    z-1 = 0 

 Add  1  to both sides of the equation : 
                      z = 1

One solution was found :