Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.5" was replaced by "(65/10)". 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 :

                (5/10)-(3-x)-((65/10))=0 

Step by step solution :

Step  1  :

            13
 Simplify   ——
            2 

Equation at the end of step  1  :

    5                13
  (—— -  (3 - x)) -  ——  = 0 
   10                2 

Step  2  :

            1
 Simplify   —
            2

Equation at the end of step  2  :

   1                13
  (— -  (3 - x)) -  ——  = 0 
   2                2 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

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

             3 - x     (3 - x) • 2
    3 - 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:

 1 - ((3-x) • 2)     2x - 5
 ———————————————  =  ——————
        2              2   

Equation at the end of step  3  :

  (2x - 5)    13
  ———————— -  ——  = 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-5) - (13)     2x - 18
 —————————————  =  ———————
       2              2   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2x - 18  =   2 • (x - 9) 

Equation at the end of step  5  :

  x - 9  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    x-9 = 0 

 Add  9  to both sides of the equation : 
                      x = 9

One solution was found :