Solution - Linear equations with one unknown

Rearrange:

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

                     7/128*x+595-(883)=0 

Step by step solution :

Step  1  :

             7 
 Simplify   ———
            128

Equation at the end of step  1  :

     7                  
  ((——— • x) +  595) -  883  = 0 
    128                 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  128  as the denominator :

           595     595 • 128
    595 =  ———  =  —————————
            1         128   

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:

 7x + 595 • 128     7x + 76160
 ——————————————  =  ——————————
      128              128    

Equation at the end of step  2  :

  (7x + 76160)    
  ———————————— -  883  = 0 
      128         

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  128  as the denominator :

           883     883 • 128
    883 =  ———  =  —————————
            1         128   

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   7x + 76160  =   7 • (x + 10880) 

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 7 • (x+10880) - (883 • 128)     7x - 36864
 ———————————————————————————  =  ——————————
             128                    128    

Equation at the end of step  4  :

  7x - 36864
  ——————————  = 0 
     128    

Step  5  :

When a fraction equals zero :

 5.1    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:

  7x-36864
  ———————— • 128 = 0 • 128
    128   

Now, on the left hand side, the  128  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   7x-36864  = 0

Solving a Single Variable Equation :

 5.2      Solve  :    7x-36864 = 0 

 Add  36864  to both sides of the equation : 
                      7x = 36864
Divide both sides of the equation by 7:
                     x = 36864/7 = 5266.286

One solution was found :