Solution - Adding, subtracting and finding the least common multiple

Rearrange:

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

                     1/8-(x-7/8)=0 

Step by step solution :

Step  1  :

            7
 Simplify   —
            8

Equation at the end of step  1  :

  1          7
  — -  (x -  —)  = 0 
  8          8

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  8  as the denominator :

          x     x • 8
     x =  —  =  —————
          1       8  

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 • 8 - (7)     8x - 7
 ———————————  =  ——————
      8            8   

Equation at the end of step  2  :

  1    (8x - 7)
  — -  ————————  = 0 
  8       8    

Step  3  :

            1
 Simplify   —
            8

Equation at the end of step  3  :

  1    (8x - 7)
  — -  ————————  = 0 
  8       8    

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:

 1 - ((8x-7))     8 - 8x
 ————————————  =  ——————
      8             8   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   8 - 8x  =   -8 • (x - 1) 

Equation at the end of step  5  :

  1 - x  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    -x+1 = 0 

 Subtract  1  from both sides of the equation : 
                      -x = -1
Multiply both sides of the equation by (-1) :  x = 1

One solution was found :