Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.8" was replaced by "(48/10)". 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 :

                     -(4/10)-2*x-((48/10))<0 

Step by step solution :

Step  1  :

            24
 Simplify   ——
            5 

Equation at the end of step  1  :

          4            24
  ((0 -  ——) -  2x) -  ——  < 0 
         10            5 

Step  2  :

            2
 Simplify   —
            5

Equation at the end of step  2  :

         2            24
  ((0 -  —) -  2x) -  ——  < 0 
         5            5 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

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

          2x     2x • 5
    2x =  ——  =  ——————
          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:

 -2 - (2x • 5)     -10x - 2
 —————————————  =  ————————
       5              5    

Equation at the end of step  3  :

  (-10x - 2)    24
  —————————— -  ——  < 0 
      5         5 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   -10x - 2  =   -2 • (5x + 1) 

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 • (5x+1) - (24)     -10x - 26
 ——————————————————  =  —————————
         5                  5    

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   -10x - 26  =   -2 • (5x + 13) 

Equation at the end of step  6  :

  -2 • (5x + 13)
  ——————————————  < 0 
        5       

Step  7  :

 7.1    Multiply both sides by  5 

 7.2    Divide both sides by  -2 

Remember to flip the inequality sign:

 7.3    Divide both sides by  5  

      x+(13/5)  > 0

Solve Basic Inequality :

 7.4      Subtract  13/5  from both sides

            x > -13/5

Inequality Plot :

 7.5      Inequality plot for

         -2.000 X  - 5.200  >  0

  
 

One solution was found :