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Solution - Linear equations with one unknown

x=7
x=7

Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     4*(5*x-2)-(2*(9*x+3))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   9x + 3  =   3 • (3x + 1) 

Equation at the end of step  2  :

  (4 • (5x - 2)) -  6 • (3x + 1)  = 0 

Step  3  :

Equation at the end of step  3  :

  4 • (5x - 2) -  6 • (3x + 1)  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   2x - 14  =   2 • (x - 7) 

Equation at the end of step  5  :

  2 • (x - 7)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    x-7 = 0 

 
Add  7  to both sides of the equation : 
 
                     x = 7

One solution was found :

                   x = 7

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