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 :

                4*(-3*x+4)-(-2*(6*x-8))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   6x - 8  =   2 • (3x - 4) 

Equation at the end of step  2  :

  (4 • (4 - 3x)) -  (0 -  4 • (3x - 4))  = 0 

Step  3  :

Equation at the end of step  3  :

  4 • (4 - 3x) -  -4 • (3x - 4)  = 0 

Step  4  :

Pulling out like terms :

 4.1      Pull out     4 

Note that  -4 =(-1)• 4 

Pulling out like terms :

 4.2      Pull out     4-3x 

Note that  3x-4 =(-1)• 4-3x 
After pulling out, we are left with :
      4 • 4-3x • ( (-1)  *  (-1) +( (-1)  *  (-1) ))

Equation at the end of step  4  :

  8 • (4 - 3x)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    8   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    -3x+4 = 0 

 Subtract  4  from both sides of the equation : 
                      -3x = -4
Multiply both sides of the equation by (-1) :  3x = 4


Divide both sides of the equation by 3:
                     x = 4/3 = 1.333

One solution was found :