Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "12.5" was replaced by "(125/10)". 2 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 :

                4*t+(35/10)-((125/10))=0 

Step by step solution :

Step  1  :

            25
 Simplify   ——
            2 

Equation at the end of step  1  :

         35     25
  (4t +  ——) -  ——  = 0 
         10     2 

Step  2  :

            7
 Simplify   —
            2

Equation at the end of step  2  :

         7     25
  (4t +  —) -  ——  = 0 
         2     2 

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  2  as the denominator :

           4t     4t • 2
     4t =  ——  =  ——————
           1        2   

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 :

 3.2       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:

 4t • 2 + 7     8t + 7
 ——————————  =  ——————
     2            2   

Equation at the end of step  3  :

  (8t + 7)    25
  ———————— -  ——  = 0 
     2        2 

Step  4  :

Adding fractions which have a common denominator :

 4.1       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:

 (8t+7) - (25)     8t - 18
 —————————————  =  ———————
       2              2   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   8t - 18  =   2 • (4t - 9) 

Equation at the end of step  5  :

  4t - 9  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    4t-9 = 0 

 Add  9  to both sides of the equation : 
                      4t = 9
Divide both sides of the equation by 4:
                     t = 9/4 = 2.250

One solution was found :