Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.005" was replaced by "(005/1000)".

Rearrange:

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

                     (5/1000)*x-(200)=0 

Step by step solution :

Step  1  :

             1 
 Simplify   ———
            200

Equation at the end of step  1  :

    1          
  (——— • x) -  200  = 0 
   200         

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  200  as the denominator :

           200     200 • 200
    200 =  ———  =  —————————
            1         200   

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 - (200 • 200)     x - 40000
 ———————————————  =  —————————
       200              200   

Equation at the end of step  2  :

  x - 40000
  —————————  = 0 
     200   

Step  3  :

When a fraction equals zero :

 3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

  x-40000
  ——————— • 200 = 0 • 200
    200  

Now, on the left hand side, the  200  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   x-40000  = 0

Solving a Single Variable Equation :

 3.2      Solve  :    x-40000 = 0 

 Add  40000  to both sides of the equation : 
                      x = 40000

One solution was found :