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*(3*x-6)+4*(4*x+3)-(45*x-166)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  ((3 • (3x - 6)) +  4 • (4x + 3)) -  (45x - 166)  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   3x - 6  =   3 • (x - 2) 

Equation at the end of step  3  :

  (9 • (x - 2) +  4 • (4x + 3)) -  (45x - 166)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   160 - 20x  =   -20 • (x - 8) 

Equation at the end of step  5  :

  -20 • (x - 8)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    -20   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    x-8 = 0 

 Add  8  to both sides of the equation : 
                      x = 8

One solution was found :