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 :

                     3*t-18-(4*(-3-3/4*t))=0 

Step by step solution :

Step  1  :

            3
 Simplify   —
            4

Equation at the end of step  1  :

                            3
  (3t - 18) -  (4 • (-3 -  (— • t)))  = 0 
                            4

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  4  as the denominator :

           -3     -3 • 4
     -3 =  ——  =  ——————
           1        4   

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:

 -3 • 4 - (3t)     -3t - 12
 —————————————  =  ————————
       4              4    

Equation at the end of step  2  :

                    (-3t - 12)
  (3t - 18) -  (4 • ——————————)  = 0 
                        4     

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   -3t - 12  =   -3 • (t + 4) 

Equation at the end of step  4  :

  (3t - 18) -  -3 • (t + 4)  = 0 

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   6t - 6  =   6 • (t - 1) 

Equation at the end of step  6  :

  6 • (t - 1)  = 0 

Step  7  :

Equations which are never true :

 7.1      Solve :    6   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 7.2      Solve  :    t-1 = 0 

 Add  1  to both sides of the equation : 
                      t = 1

One solution was found :