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*(-2*x-4)-2*x+2-(-42)=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -2x - 4  =   -2 • (x + 2) 

Equation at the end of step  2  :

  ((-10 • (x + 2) -  2x) +  2) -  -42  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   24 - 12x  =   -12 • (x - 2) 

Equation at the end of step  4  :

  -12 • (x - 2)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    -12   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    x-2 = 0 

 Add  2  to both sides of the equation : 
                      x = 2

One solution was found :