Solution - Adding, subtracting and finding the least common multiple

Rearrange:

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

                     -x+3/7-(2*x-25/7)=0 

Step by step solution :

Step  1  :

            25
 Simplify   ——
            7 

Equation at the end of step  1  :

         3            25
  (-x +  —) -  (2x -  ——)  = 0 
         7            7 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  7  as the denominator :

           2x     2x • 7
     2x =  ——  =  ——————
           1        7   

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 :

 2.2       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 • 7 - (25)     14x - 25
 —————————————  =  ————————
       7              7    

Equation at the end of step  2  :

         3     (14x - 25)
  (-x +  —) -  ——————————  = 0 
         7         7     

Step  3  :

            3
 Simplify   —
            7

Equation at the end of step  3  :

         3     (14x - 25)
  (-x +  —) -  ——————————  = 0 
         7         7     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  7  as the denominator :

           -x     -x • 7
     -x =  ——  =  ——————
           1        7   

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 -x • 7 + 3     3 - 7x
 ——————————  =  ——————
     7            7   

Equation at the end of step  4  :

  (3 - 7x)    (14x - 25)
  ———————— -  ——————————  = 0 
     7            7     

Step  5  :

Adding fractions which have a common denominator :

 5.1       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:

 (3-7x) - ((14x-25))     28 - 21x
 ———————————————————  =  ————————
          7                 7    

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   28 - 21x  =   -7 • (3x - 4) 

Equation at the end of step  6  :

  4 - 3x  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      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 :