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 :

                     7-(3*(x-1)+4*(x-1))=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  7 -  ((3 • (x - 1)) +  4 • (x - 1))  = 0 

Step  2  :

Equation at the end of step  2  :

  7 -  (3 • (x - 1) +  4 • (x - 1))  = 0 
 Step  3  :

Pulling out like terms :

 3.1      Pull out     7 

After pulling out, we are left with :
      7 • ( 1 +( (x-1)  *  (-1) ))

Equation at the end of step  3  :

  7 • (2 - x)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    7   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    -x+2 = 0 

 Subtract  2  from both sides of the equation : 
                      -x = -2
Multiply both sides of the equation by (-1) :  x = 2

One solution was found :