Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "61.5" was replaced by "(615/10)". 2 more similar replacement(s)

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                     x-(785/10)-((615/10))<0 

Step by step solution :

Step  1  :

            123
 Simplify   ———
             2 

Equation at the end of step  1  :

        785     123
  (x -  ———) -  ———  < 0 
        10       2 

Step  2  :

            157
 Simplify   ———
             2 

Equation at the end of step  2  :

        157     123
  (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 - (157)     2x - 157
 —————————————  =  ————————
       2              2    

Equation at the end of step  3  :

  (2x - 157)    123
  —————————— -  ———  < 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-157) - (123)     2x - 280
 ————————————————  =  ————————
        2                2    

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2x - 280  =   2 • (x - 140) 

Equation at the end of step  5  :

  x - 140  < 0 

Step  6  :

Solve Basic Inequality :

 6.1      Add  140  to both sides

             x < 140

Inequality Plot :

 6.2      Inequality plot for

         x  - 140.000  <  0

  
 

One solution was found :