Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.25" was replaced by "(25/100)". 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 :

           4*((5/10)*n-3)-(n-(25/100)*(12-8*n))=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

        5            1
  (4•((——•n)-3))-(n-(—•(12-8n)))  = 0 
       10            4

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   12 - 8n  =   -4 • (2n - 3) 

Equation at the end of step  3  :

        5
  (4•((——•n)-3))-(n-(3-2n))  = 0 
       10

Step  4  :

            1
 Simplify   —
            2

Equation at the end of step  4  :

         1                
  (4 • ((— • n) -  3)) -  (3n - 3)  = 0 
         2                

Step  5  :

Rewriting the whole as an Equivalent Fraction :

 5.1   Subtracting a whole from a fraction

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

         3     3 • 2
    3 =  —  =  —————
         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 :

 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:

 n - (3 • 2)     n - 6
 ———————————  =  —————
      2            2  

Equation at the end of step  5  :

       (n - 6)     
  (4 • ———————) -  (3n - 3)  = 0 
          2        

Step  6  :

Equation at the end of step  6  :

  2 • (n - 6) -  (3n - 3)  = 0 

Step  7  :

Step  8  :

Pulling out like terms :

 8.1     Pull out like factors :

   -n - 9  =   -1 • (n + 9) 

Equation at the end of step  8  :

  -n - 9  = 0 

Step  9  :

Solving a Single Variable Equation :

 9.1      Solve  :    -n-9 = 0 

 Add  9  to both sides of the equation : 
                      -n = 9
Multiply both sides of the equation by (-1) :  n = -9

One solution was found :