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+7)+4*(7*x-2)-(65)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  ((5 • (2x + 7)) +  4 • (7x - 2)) -  65  = 0 

Step  2  :

Equation at the end of step  2  :

  (5 • (2x + 7) +  4 • (7x - 2)) -  65  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   38x - 38  =   38 • (x - 1) 

Equation at the end of step  4  :

  38 • (x - 1)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    38   =  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 

 Add  1  to both sides of the equation : 
                      x = 1

One solution was found :