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 equal sign from both sides of the equation :

                (126/10)+4*m-((96/10)+8*m)=0 

Step by step solution :

Step  1  :

            48
 Simplify   ——
            5 

Equation at the end of step  1  :

   126            48    
  (——— +  4m) -  (—— +  8m)  = 0 
   10             5     

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

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

          8m     8m • 5
    8m =  ——  =  ——————
          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 :

 2.2       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:

 48 + 8m • 5     40m + 48
 ———————————  =  ————————
      5             5    

Equation at the end of step  2  :

   126           (40m + 48)
  (——— +  4m) -  ——————————  = 0 
   10                5     

Step  3  :

            63
 Simplify   ——
            5 

Equation at the end of step  3  :

   63           (40m + 48)
  (—— +  4m) -  ——————————  = 0 
   5                5     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

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

          4m     4m • 5
    4m =  ——  =  ——————
          1        5   

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 63 + 4m • 5     20m + 63
 ———————————  =  ————————
      5             5    

Equation at the end of step  4  :

  (20m + 63)    (40m + 48)
  —————————— -  ——————————  = 0 
      5             5     

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   40m + 48  =   8 • (5m + 6) 

Adding fractions which have a common denominator :

 6.2       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:

 (20m+63) - (8 • (5m+6))     15 - 20m
 ———————————————————————  =  ————————
            5                   5    

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   15 - 20m  =   -5 • (4m - 3) 

Equation at the end of step  7  :

  3 - 4m  = 0 

Step  8  :

Solving a Single Variable Equation :

 8.1      Solve  :    -4m+3 = 0 

 Subtract  3  from both sides of the equation : 
                      -4m = -3
Multiply both sides of the equation by (-1) :  4m = 3


Divide both sides of the equation by 4:
                     m = 3/4 = 0.750

One solution was found :