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 :

                10-5*x-(3*(x-4)-2*(x+7))=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (10 - 5x) -  ((3 • (x - 4)) -  2 • (x + 7))  = 0 

Step  2  :

Equation at the end of step  2  :

  (10 - 5x) -  (3 • (x - 4) -  2 • (x + 7))  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   36 - 6x  =   -6 • (x - 6) 

Equation at the end of step  4  :

  -6 • (x - 6)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    -6   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    x-6 = 0 

 Add  6  to both sides of the equation : 
                      x = 6

One solution was found :