Solution - Linear equations with one unknown

Step by step solution :

Step  1  :

            3x - 7
 Simplify   ——————
            4x - 8

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   4x - 8  =   4 • (x - 2) 

Equation at the end of step  2  :

     3x - 7  
  ———————————  = 0 
  4 • (x - 2)

Step  3  :

When a fraction equals zero :

 3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

    3x-7 
  ——————— • 4•(x-2) = 0 • 4•(x-2)
  4•(x-2)

Now, on the left hand side, the  4 • x-2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   3x-7  = 0

Solving a Single Variable Equation :

 3.2      Solve  :    3x-7 = 0 

 Add  7  to both sides of the equation : 
                      3x = 7
Divide both sides of the equation by 3:
                     x = 7/3 = 2.333

One solution was found :