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 :

                     58*x+52-(78*x-78)=0 

Step by step solution :

Step  1  :

Pulling out like terms :

 1.1     Pull out like factors :

   -20x + 130  =   -10 • (2x - 13) 

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

 2.1      Solve :    -10   =  0

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

Solving a Single Variable Equation :

 2.2      Solve  :    2x-13 = 0 

 Add  13  to both sides of the equation : 
                      2x = 13
Divide both sides of the equation by 2:
                     x = 13/2 = 6.500

One solution was found :