Solution - Linear equations with one unknown

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  ((4 • (3 - 5n)) -  7 • (5 - 4n)) +  3  = 0 

Step  2  :

Equation at the end of step  2  :

  (4 • (3 - 5n) -  7 • (5 - 4n)) +  3  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   8n - 20  =   4 • (2n - 5) 

Equation at the end of step  4  :

  4 • (2n - 5)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    4   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    2n-5 = 0 

 Add  5  to both sides of the equation : 
                      2n = 5
Divide both sides of the equation by 2:
                     n = 5/2 = 2.500

One solution was found :