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-1/3)-(11)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            3

Equation at the end of step  1  :

             1      
  (3 • (x -  —)) -  11  = 0 
             3      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

          x     x • 3
     x =  —  =  —————
          1       3  

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:

 x • 3 - (1)     3x - 1
 ———————————  =  ——————
      3            3   

Equation at the end of step  2  :

       (3x - 1)     
  (3 • ————————) -  11  = 0 
          3         

Step  3  :

Equation at the end of step  3  :

  (3x - 1) -  11  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   3x - 12  =   3 • (x - 4) 

Equation at the end of step  5  :

  3 • (x - 4)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    3   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    x-4 = 0 

 Add  4  to both sides of the equation : 
                      x = 4

One solution was found :