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 :

                     x-1/2-(1/2)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

        1     1
  (x -  —) -  —  = 0 
        2     2

Step  2  :

            1
 Simplify   —
            2

Equation at the end of step  2  :

        1     1
  (x -  —) -  —  = 0 
        2     2

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

          x     x • 2
     x =  —  =  —————
          1       2  

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:

 x • 2 - (1)     2x - 1
 ———————————  =  ——————
      2            2   

Equation at the end of step  3  :

  (2x - 1)    1
  ———————— -  —  = 0 
     2        2

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:

 (2x-1) - (1)     2x - 2
 ————————————  =  ——————
      2             2   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2x - 2  =   2 • (x - 1) 

Equation at the end of step  5  :

  x - 1  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    x-1 = 0 

 Add  1  to both sides of the equation : 
                      x = 1

One solution was found :