Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.19" was replaced by "(1119/100)". 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 :

                6*x+(459/100)-((1119/100))=0 

Step by step solution :

Step  1  :

            1119
 Simplify   ————
            100 

Equation at the end of step  1  :

         459     1119
  (6x +  ———) -  ————  = 0 
         100     100 

Step  2  :

            459
 Simplify   ———
            100

Equation at the end of step  2  :

         459     1119
  (6x +  ———) -  ————  = 0 
         100     100 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

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

           6x     6x • 100
     6x =  ——  =  ————————
           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 :

 3.2       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:

 6x • 100 + 459     600x + 459
 ——————————————  =  ——————————
      100              100    

Equation at the end of step  3  :

  (600x + 459)    1119
  ———————————— -  ————  = 0 
      100         100 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   600x + 459  =   3 • (200x + 153) 

Adding fractions which have a common denominator :

 5.2       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:

 3 • (200x+153) - (1119)     600x - 660
 ———————————————————————  =  ——————————
           100                  100    

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   600x - 660  =   60 • (10x - 11) 

Equation at the end of step  6  :

  60 • (10x - 11)
  ———————————————  = 0 
        100      

Step  7  :

When a fraction equals zero :

 7.1    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:

  60•(10x-11)
  ——————————— • 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 :
   60  •  (10x-11)  = 0

Equations which are never true :

 7.2      Solve :    60   =  0

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

Solving a Single Variable Equation :

 7.3      Solve  :    10x-11 = 0 

 Add  11  to both sides of the equation : 
                      10x = 11
Divide both sides of the equation by 10:
                     x = 11/10 = 1.100

One solution was found :