Solution - Linear equations with one unknown

Rearrange:

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

                     6*s-4-(8*(2+1/4*s))=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

                          1
  (6s - 4) -  (8 • (2 +  (— • s)))  = 0 
                          4

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  4  as the denominator :

          2     2 • 4
     2 =  —  =  —————
          1       4  

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:

 2 • 4 + s     s + 8
 —————————  =  —————
     4           4  

Equation at the end of step  2  :

                   (s + 8)
  (6s - 4) -  (8 • ———————)  = 0 
                      4   

Step  3  :

Equation at the end of step  3  :

  (6s - 4) -  2 • (s + 8)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   4s - 20  =   4 • (s - 5) 

Equation at the end of step  5  :

  4 • (s - 5)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    4   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 6.2      Solve  :    s-5 = 0 

 Add  5  to both sides of the equation : 
                      s = 5

One solution was found :