Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.03" was replaced by "(03/100)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                2000*(x-(3/100))-(6000)=0 

Step by step solution :

Step  1  :

             3 
 Simplify   ———
            100

Equation at the end of step  1  :

                 3       
  (2000 • (x -  ———)) -  6000  = 0 
                100      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  100  as the denominator :

          x     x • 100
     x =  —  =  ———————
          1       100  

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 • 100 - (3)     100x - 3
 —————————————  =  ————————
      100            100   

Equation at the end of step  2  :

          (100x - 3)     
  (2000 • ——————————) -  6000  = 0 
             100         

Step  3  :

Equation at the end of step  3  :

  20 • (100x - 3) -  6000  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2000x - 6060  =   20 • (100x - 303) 

Equation at the end of step  5  :

  20 • (100x - 303)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    20   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    100x-303 = 0 

 Add  303  to both sides of the equation : 
                      100x = 303
Divide both sides of the equation by 100:
                     x = 303/100 = 3.030

One solution was found :