Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.4" was replaced by "(4/10)". 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 :

           (2/10)*(x+50)-6-((4/10)*(3*x+20))=0 

Step by step solution :

Step  1  :

            2
 Simplify   —
            5

Equation at the end of step  1  :

     2             2
  ((——•(x+50))-6)-(—•(3x+20))  = 0 
    10             5

Step  2  :

Equation at the end of step  2  :

     2            2•(3x+20)
  ((——•(x+50))-6)-—————————  = 0 
    10                5    

Step  3  :

            1
 Simplify   —
            5

Equation at the end of step  3  :

    1                      2 • (3x + 20)
  ((— • (x + 50)) -  6) -  —————————————  = 0 
    5                            5      

Step  4  :

Equation at the end of step  4  :

   (x + 50)          2 • (3x + 20)
  (———————— -  6) -  —————————————  = 0 
      5                    5      

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction

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

         6     6 • 5
    6 =  —  =  —————
         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 :

 5.2       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+50) - (6 • 5)     x + 20
 ————————————————  =  ——————
        5               5   

Equation at the end of step  5  :

  (x + 20)    2 • (3x + 20)
  ———————— -  —————————————  = 0 
     5              5      

Step  6  :

Adding fractions which have a common denominator :

 6.1       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:

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

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   -5x - 20  =   -5 • (x + 4) 

Equation at the end of step  7  :

  -x - 4  = 0 

Step  8  :

Solving a Single Variable Equation :

 8.1      Solve  :    -x-4 = 0 

 Add  4  to both sides of the equation : 
                      -x = 4
Multiply both sides of the equation by (-1) :  x = -4

One solution was found :