Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.99" was replaced by "(399/100)". 2 more similar replacement(s)

Rearrange:

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

                -(1843/100)-((399/100)+x)=0 

Step by step solution :

Step  1  :

            399
 Simplify   ———
            100

Equation at the end of step  1  :

        1843      399    
  (0 -  ————) -  (——— +  x)  = 0 
        100       100    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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:

 399 + x • 100     100x + 399
 —————————————  =  ——————————
      100             100    

Equation at the end of step  2  :

        1843     (100x + 399)
  (0 -  ————) -  ————————————  = 0 
        100          100     

Step  3  :

            1843
 Simplify   ————
            100 

Equation at the end of step  3  :

        1843     (100x + 399)
  (0 -  ————) -  ————————————  = 0 
        100          100     

Step  4  :

Adding fractions which have a common denominator :

 4.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 -1843 - ((100x+399))     -100x - 2242
 ————————————————————  =  ————————————
         100                  100     

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   -100x - 2242  =   -2 • (50x + 1121) 

Equation at the end of step  5  :

  -2 • (50x + 1121)
  —————————————————  = 0 
         100       

Step  6  :

When a fraction equals zero :

 6.1    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:

  -2•(50x+1121)
  ————————————— • 100 = 0 • 100
       100     

Now, on the left hand side, the  100  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   -2  •  (50x+1121)  = 0

Equations which are never true :

 6.2      Solve :    -2   =  0

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

Solving a Single Variable Equation :

 6.3      Solve  :    50x+1121 = 0 

 Subtract  1121  from both sides of the equation : 
                      50x = -1121
Divide both sides of the equation by 50:
                     x = -1121/50 = -22.420

One solution was found :