Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.3" was replaced by "(3/10)".

Rearrange:

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

                     200*(x-(3/10))-(600)=0 

Step by step solution :

Step  1  :

             3
 Simplify   ——
            10

Equation at the end of step  1  :

                3      
  (200 • (x -  ——)) -  600  = 0 
               10      

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

          x     x • 10
     x =  —  =  ——————
          1       10  

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 • 10 - (3)     10x - 3
 ————————————  =  ———————
      10            10   

Equation at the end of step  2  :

         (10x - 3)     
  (200 • —————————) -  600  = 0 
            10         

Step  3  :

Equation at the end of step  3  :

  20 • (10x - 3) -  600  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   200x - 660  =   20 • (10x - 33) 

Equation at the end of step  5  :

  20 • (10x - 33)  = 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  :    10x-33 = 0 

 Add  33  to both sides of the equation : 
                      10x = 33
Divide both sides of the equation by 10:
                     x = 33/10 = 3.300

One solution was found :