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 :

                     4+2*p-(10*(3/5*p-2))=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

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

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

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

         2     2 • 5
    2 =  —  =  —————
         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:

 3p - (2 • 5)     3p - 10
 ————————————  =  ———————
      5              5   

Equation at the end of step  2  :

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

Step  3  :

Equation at the end of step  3  :

  (2p + 4) -  2 • (3p - 10)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   24 - 4p  =   -4 • (p - 6) 

Equation at the end of step  5  :

  -4 • (p - 6)  = 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  :    p-6 = 0 

 Add  6  to both sides of the equation : 
                      p = 6

One solution was found :