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*(x-3)+12-(15-5*(x+6))=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  ((4•(x-3))+12)-(15-5•(x+6))  = 0 

Step  2  :

Equation at the end of step  2  :

  (4 • (x - 3) +  12) -  (-5x - 15)  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   9x + 15  =   3 • (3x + 5) 

Equation at the end of step  4  :

  3 • (3x + 5)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    3   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    3x+5 = 0 

 Subtract  5  from both sides of the equation : 
                      3x = -5
Divide both sides of the equation by 3:
                     x = -5/3 = -1.667

One solution was found :