Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.5" was replaced by "(5/10)". 3 more similar replacement(s)

Rearrange:

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

           (25/10)*(x+5)-((75/10)*x-(5/10))=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            2

Equation at the end of step  1  :

   25          75    1
  (——•(x+5))-((——•x)-—)  = 0 
   10          10    2

Step  2  :

            15
 Simplify   ——
            2 

Equation at the end of step  2  :

   25                 15         1
  (—— • (x + 5)) -  ((—— • x) -  —)  = 0 
   10                 2          2

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:

 15x - (1)     15x - 1
 —————————  =  ———————
     2            2   

Equation at the end of step  3  :

   25               (15x - 1)
  (—— • (x + 5)) -  —————————  = 0 
   10                   2    

Step  4  :

            5
 Simplify   —
            2

Equation at the end of step  4  :

   5               (15x - 1)
  (— • (x + 5)) -  —————————  = 0 
   2                   2    

Step  5  :

Equation at the end of step  5  :

  5 • (x + 5)    (15x - 1)
  ——————————— -  —————————  = 0 
       2             2    

Step  6  :

Adding fractions which have a common denominator :

 6.1       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:

 5 • (x+5) - ((15x-1))     26 - 10x
 —————————————————————  =  ————————
           2                  2    

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   26 - 10x  =   -2 • (5x - 13) 

Equation at the end of step  7  :

  13 - 5x  = 0 

Step  8  :

Solving a Single Variable Equation :

 8.1      Solve  :    -5x+13 = 0 

 Subtract  13  from both sides of the equation : 
                      -5x = -13
Multiply both sides of the equation by (-1) :  5x = 13


Divide both sides of the equation by 5:
                     x = 13/5 = 2.600

One solution was found :