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-10*(-x-1)-(6*(x-2))=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (4x -  (10 • (-x - 1))) -  6 • (x - 2)  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -x - 1  =   -1 • (x + 1) 

Equation at the end of step  3  :

  (4x -  -10 • (x + 1)) -  6 • (x - 2)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   8x + 22  =   2 • (4x + 11) 

Equation at the end of step  5  :

  2 • (4x + 11)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    4x+11 = 0 

 Subtract  11  from both sides of the equation : 
                      4x = -11
Divide both sides of the equation by 4:
                     x = -11/4 = -2.750

One solution was found :