Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.5" was replaced by "(35/10)". 2 more similar replacement(s)

Rearrange:

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

                (95/10)+(35/10)*x-(35)≤0 

Step by step solution :

Step  1  :

            7
 Simplify   —
            2

Equation at the end of step  1  :

   95     7          
  (—— +  (— • x)) -  35  ≤ 0 
   10     2          

Step  2  :

            19
 Simplify   ——
            2 

Equation at the end of step  2  :

   19    7x     
  (—— +  ——) -  35  ≤ 0 
   2     2      

Step  3  :

Adding fractions which have a common denominator :

 3.1       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:

 19 + 7x     7x + 19
 ———————  =  ———————
    2           2   

Equation at the end of step  3  :

  (7x + 19)    
  ————————— -  35  ≤ 0 
      2        

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction

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

          35     35 • 2
    35 =  ——  =  ——————
          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 :

 4.2       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:

 (7x+19) - (35 • 2)     7x - 51
 ——————————————————  =  ———————
         2                 2   

Equation at the end of step  4  :

  7x - 51
  ———————  ≤ 0 
     2   

Step  5  :

 5.1    Multiply both sides by  2 

 5.2    Divide both sides by  7  

      x-(51/7)  ≤ 0

Solve Basic Inequality :

 5.3      Add  51/7  to both sides

             x ≤ 51/7

Inequality Plot :

 5.4      Inequality plot for

         3.500 x  - 25.500  ≤  0

  
 

One solution was found :