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 :

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

Step by step solution :

Step  1  :

            3
 Simplify   —
            5

Equation at the end of step  1  :

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

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

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

          p     p • 5
     p =  —  =  —————
          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:

 p • 5 + 3     5p + 3
 —————————  =  ——————
     5           5   

Equation at the end of step  2  :

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

Step  3  :

Equation at the end of step  3  :

  (0 -  (5p + 3)) -  -4  = 0 

Step  4  :

Equation at the end of step  4  :

  1 - 5p  = 0 

Step  5  :

Solving a Single Variable Equation :

 5.1      Solve  :    -5p+1 = 0 

 Subtract  1  from both sides of the equation : 
                      -5p = -1
Multiply both sides of the equation by (-1) :  5p = 1


Divide both sides of the equation by 5:
                     p = 1/5 = 0.200

One solution was found :