Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "9.6" was replaced by "(96/10)". 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 :

                     (12/10)*x+8-((96/10))<0 

Step by step solution :

Step  1  :

            48
 Simplify   ——
            5 

Equation at the end of step  1  :

    12               48
  ((—— • x) +  8) -  ——  < 0 
    10               5 

Step  2  :

            6
 Simplify   —
            5

Equation at the end of step  2  :

    6               48
  ((— • x) +  8) -  ——  < 0 
    5               5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         8     8 • 5
    8 =  —  =  —————
         1       5  

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:

 6x + 8 • 5     6x + 40
 ——————————  =  ———————
     5             5   

Equation at the end of step  3  :

  (6x + 40)    48
  ————————— -  ——  < 0 
      5        5 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   6x + 40  =   2 • (3x + 20) 

Adding fractions which have a common denominator :

 5.2       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:

 2 • (3x+20) - (48)     6x - 8
 ——————————————————  =  ——————
         5                5   

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   6x - 8  =   2 • (3x - 4) 

Equation at the end of step  6  :

  2 • (3x - 4)
  ————————————  < 0 
       5      

Step  7  :

 7.1    Multiply both sides by  5 

 7.2    Divide both sides by  2 

 7.3    Divide both sides by  3  

      x-(4/3)  < 0

Solve Basic Inequality :

 7.4      Add  4/3  to both sides

             x < 4/3

Inequality Plot :

 7.5      Inequality plot for

         1.200 X  - 1.600  <  0

  
 

One solution was found :