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 :

                     3*(1-x)-(-2*(5*x-5))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   5x - 5  =   5 • (x - 1) 

Equation at the end of step  2  :

  (3 • (1 - x)) -  (0 -  10 • (x - 1))  = 0 

Step  3  :

Equation at the end of step  3  :

  3 • (1 - x) -  -10 • (x - 1)  = 0 

Step  4  :

Pulling out like terms :

 4.1      Pull out     1-x 

Note that  x-1 =(-1)• 1-x 
After pulling out, we are left with :
      (1-x) • ( 3  *  (-1) +( (-10)  *  (-1) ))

Equation at the end of step  4  :

  7 • (1 - x)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    7   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    -x+1 = 0 

 Subtract  1  from both sides of the equation : 
                      -x = -1
Multiply both sides of the equation by (-1) :  x = 1

One solution was found :