Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.6" was replaced by "(46/10)".

Rearrange:

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

                     (46/10)-(134/5-2/5*x)=0 

Step by step solution :

Step  1  :

            2
 Simplify   —
            5

Equation at the end of step  1  :

  46     134     2
  —— -  (——— -  (— • x))  = 0 
  10      5      5

Step  2  :

            134
 Simplify   ———
             5 

Equation at the end of step  2  :

  46     134    2x
  —— -  (——— -  ——)  = 0 
  10      5     5 

Step  3  :

Adding fractions which have a common denominator :

 3.1       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 134 - (2x)     134 - 2x
 ——————————  =  ————————
     5             5    

Equation at the end of step  3  :

  46    (134 - 2x)
  —— -  ——————————  = 0 
  10        5     

Step  4  :

            23
 Simplify   ——
            5 

Equation at the end of step  4  :

  23    (134 - 2x)
  —— -  ——————————  = 0 
  5         5     

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   134 - 2x  =   -2 • (x - 67) 

Adding fractions which have a common denominator :

 6.2       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 23 - (-2 • (x-67))     2x - 111
 ——————————————————  =  ————————
         5                 5    

Equation at the end of step  6  :

  2x - 111
  ————————  = 0 
     5    

Step  7  :

When a fraction equals zero :

 7.1    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:

  2x-111
  —————— • 5 = 0 • 5
    5   

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   2x-111  = 0

Solving a Single Variable Equation :

 7.2      Solve  :    2x-111 = 0 

 Add  111  to both sides of the equation : 
                      2x = 111
Divide both sides of the equation by 2:
                     x = 111/2 = 55.500

One solution was found :