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 :

                (6/5)*(5/6)*2*x-(125/216)=0 

Step by step solution :

Step  1  :

            125
 Simplify   ———
            216

Equation at the end of step  1  :

     6 5        125
  (((—•—)•2)•x)-———  = 0 
     5 6        216

Step  2  :

            5
 Simplify   —
            6

Equation at the end of step  2  :

     6   5               125
  (((— • —) • 2) • x) -  ———  = 0 
     5   6               216

Step  3  :

            6
 Simplify   —
            5

Equation at the end of step  3  :

     6   5               125
  (((— • —) • 2) • x) -  ———  = 0 
     5   6               216

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  216  as the denominator :

           2x     2x • 216
     2x =  ——  =  ————————
           1        216   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 2x • 216 - (125)     432x - 125
 ————————————————  =  ——————————
       216               216    

Equation at the end of step  4  :

  432x - 125
  ——————————  = 0 
     216    

Step  5  :

When a fraction equals zero :

 5.1    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:

  432x-125
  ———————— • 216 = 0 • 216
    216   

Now, on the left hand side, the  216  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   432x-125  = 0

Solving a Single Variable Equation :

 5.2      Solve  :    432x-125 = 0 

 Add  125  to both sides of the equation : 
                      432x = 125
Divide both sides of the equation by 432:
                     x = 125/432 = 0.289

One solution was found :